Assume that w = f(s3 + t?) and f'(x) = ex. Find dw dw and at ds dw at dw

Q: dx y=u(1+u°)³ and u =(3x-2)². %3D Express the derivative in terms of x, if

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Q: f' = 2t – 3 sin t where f(0) = 5

A: We will integrate f prime to find f. And then use the given condition to find the value of…

Q: dy 2.x² – xy = 25y² , find dx

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Q: 1 y = (4x3 – 4)7

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Q: Find the derivative dy if y(x)- Vx+1 dx dy xp dl (O

A: Given:

Q: Use implicit differentiation to find x³ + 3x?y + y° = 8 * + 3xy O A. * +y * + 2xy x² +y? OB. * + 2xy…

A: To find the derivative.

Q: Find the derivative dy/dx for:

A: Our Aim is to find the derivative dydx  for:-(i) y=(x3+x4)5(ii) y=3xlnx(iii) y=x arctan(4x)

Q: Find by implicit differentiation: dx a. cos y =x+ y

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Differentiate the following function.   r(t)=(t e^-t,5tln t,t sin t)

A: