The derivative , given 7x y Inz + 7e5y is dy dr 21r y 3y In z 35e 21z y 3y In r+35ze 21r y 3ry In r 35re 21z y y=3ry ln I| 35e Oy=

Q: Compute the indicated derivative using the chain rule. dy x = 1 – t/3, y = 8t – 1; dy %3D

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: NOTE: Refresh your page if you can't see any equations. . take integration

Q: Q1) Answer the questions by true or false 1) If y = In then the derivative of y is = (x2 + 3) * 2x…

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Q: (b) If z= 3x² + y² 4xy Hence, Show that find ôz dz dx dy Ox 3 3x a²z y a²z y ổr x ô and =0 8² z 2…

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Q: y, thên thế total differential of and y O df = 11 dr + 16 dy O df = 15 dr + 19 dy O df = 12 dr +18…

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Q: Find the particular anti derivative that satisfies the following conditions: dy/dx=3x+5/sqrt3 of x ;…

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Q: 2 4 Differentiate cxprersion (use D for dy X y' w. respect tox

A: on diffrentiating with respect to x we get

Q: dy for y= In(In(2r')) dt

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Q: Q#3: Find the total derivative dy/dw. Y=3x+2w+5z? x=4 In(w³) z=e+3x³

A: Given,           y=3x+2w+5z2 , x=4 lnw2 , z=e-z+3x-3

Q: Find dy for the given values of x and Ax. y = 3x+5; x = 1; Ax 0.24 What is the derivative of y = V3x…

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Q: Find the total derivative dy/dw. Y=3x+2w+5z? x=4 In(w-) z=ez+3x

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Q: dy For the function dt d y is 3 cos t, the third %3D order derivative dt3 O 3 cos t

A: Given: dydt=3cost To find the third order derivative d3ydt3. Solution: We have, dydt=3cost…

Q: Evaluate the second derivative of e22.1.png acos(b/x) f(x) x2 if a = 323 and b = 0.5 at x = 3 using…

A: Given function is f(x)=323cos0.5xx2 Step value is ∆x=0.1

Q: Find the derivative dy at t dx where x = 4sint, and y = 2cost- O dy dx dy !! dx dy V3 dx O dy %3D dx…

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Q: 15. Differentiate 4y³ with respect to x. A) 12y? B) 12y C) 12y2 dy D) 4y2 dy dx dx 16-17. Find the…

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Q: Suppose y = v2x + 1, where x and y are functions of t. dx = 6, find dt dy when x = 4. dt (a) If dy…

A: Given y=2x+1 dydx=dydtdxdt

Q: find out wheher the function s the selution o the differential gurticn 300 2e Oy= जू - 194 + 243D 0…

A: This question is related to differentiable equation.

Q: Find the antiderivative of the given derivative. ds = 5t(212 – 1)3 dt

A: Solution:-  given that  dsdt=5t(2t2-1)3 now  using identity (a-b)3=a3-b3-3ab(a-b)

Q: 1. Find the total derivative dz/dy, given (a) z= f(x, y) = 5x + xy – y², where x = 9(y) = 3 y2 (b)…

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Q: Solve the DE using homogenous equations: Let: x = vy dx = vdy+ydv xy dx - (x2+3y2) dy = 0

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: To find the antiderivative of the below derivative

Q: 2. Evaluate dy and Ay if x = 1 and dx = Ax = 1. 3. Find the equation of the tangent line at x = 1.

A: Your question contain only two which i have solved completely.

Q: 2. In each case, find the derivative d (a) z = x* + y and r(t) = In (t) and y(t) = e24, (b) z = 5xy…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: dRdt=96t4 , R2=76 Find antiderivative R(t) =∫96t4 dt=96 ∫1t4 dt=96∫t-4 dt=96 ·t-3-3 +CR(t)=-32t3 +C

Q: In what directions is the derivative of f(x,y) = xy + y at P(4,5) equal to zero?

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Q: Use the Quotient Rule to compute the following: d ( t2 +1 at t = -4 %3D dt \ t2 – 1 The derivative…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: Find the following derivatives. where z= e 9x + 4y x = 3st, and y = 2s + 4t Zs and Zt,

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Q: For the z=(2x+3y)10,which is correct partial derivative b. fx=20(2x+3y)9 O d. fz=30(2x)9 O c.…

A: given: z=f(x,y)=2x+3y10

Q: For y= sintx/2 obtain dy/dx at x= 0.5 with Ax= 0.1 using: dy。+1-リ-1 (a) dx 24x dy Yj+1-Y;. (b) dx 4x…

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Q: Find the total derivative of f(z, y) = xy+3y² is a. df = ydx + dy b. df = ydx + 6edy C. df (a +y)da…

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Q: Find dy for the given values of x and Ax. y = x° - 5x + 5; x = 1; Ax = - 0.4 What is the derivative…

A: Here, the given function is: y=x3-5x2+5

Q: The Integrating Factor for the DE y dx = (ye' – 2x)dy %3D is: -2y レマ None of These 2y

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Q: Find the indicated derivative. dy dt dy 11 for y=(2.5t-4t²) (2t+1.4)

A: Given that,   y=2.5t-4t22t+1.4

Q: Find the indicated derivative. dy dt - for y = (2.2t - 4t?)(2t + 1.9) dt 11

A: We have to find dy/dt for Given function.

Q: aw nd dt in term of t, if w = xy, x = cost and y = sint, when t = - %3D

A: Question 4 is not complete.  I am answering Question 5.

Q: 2. Show that the function u = p(xy) + Vxy v(y/x) provides the equation = 0. dy? -

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Q: Find the derivative, dy/dx of the following using the chain rule: a) y = 3. 'x+1 b) y = ()³ 5x+1 %3D…

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost…

Q: dy The derivative dx ' given 8x4 = y lIn a + 8e²v is 3xy² In x+16e2y 1624+y3 3y2 In x+16xe2y 32x4-y3…

A: Differentiating given function implicitly with respect to x and find that third option is correct.

Q: In what directions is the derivative of f(x,y) = xy + y at P(8,5) equal to zero?

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Q: ex+y+Z If f(x, y) = x+ey+e²> then the %3D ex+eY +eZ > value of fx + fy + fz is equal 2f f

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Q: 5t+3xy 5. For z = and x = t2 + 1, y = \t² + 1 and w = e* + 1, calculate the total derivative, 2w²y…

A: Given,            z=5t2+3xy2w2y and x=t2+1          y=t2+1 and w=et+1

Q: Find dy for the given values of x and Ax. y=2x+9; x 1, Ax 0.12 What is the derivative of y = 2x +9?…

A: We have to solve

Q: If z = e2x+ 3y and x = In t, y = t2, calculate dz from the total dt derivative formula and show that…

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Q: Find the antiderivative of the given derivative. ds = 14t(5t2 – 1)3 dt S=

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Q: dy Differentiate implicitly to find dx e**y = 8x + 3y +8 Evaluate the derivative of the each side of…

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Q: Q11) For the z=(2x+3y)10,which is correct partial derivative? a. z'=60(dy/dx)(2x+3y)9 O b.…

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