az az Use the chain rule to find and as at z = In(4x + 3y), x = s sin(t), y = t cos(s) az as az %3D at

Q: Find the derivatives of y with respect to x: a) y = xe* – ex b)' y = e(+x+) c) y = e*(sin x + cos x)…

A: Differentiate the function with respect to x.

Q: Q2) Use the chain rule to express dy /dx in terms of x and y y = sint and t = cos x where t= 0

A:

Q: the derivatives of y with respect to x: y = xe* – ex y = e(1x+) %3D y = e*(sin x + cos x) %3D y =…

A:

Q: find y' y=cos(3x)+cot(5x)

A: We have to find derivative of f(x),where f(x) is given by:

Q: Find y' : In(cos² 3x) = e*+y + sin-1 y

A:

Q: Find ds/dt when u = 3pai/2 if s = cos u and du/dt = 5.

A: Given,

Q: Hence, using chain rules find y' i. y = sin(2x² + tan(6x² – x)),hint: u = 2x² + tan(6x² – x) ii.y =…

A:

Q: Find ds/dt if 3t + 3s sin(3t) + 3cos(t) %3D

A:

Q: let y=[cos(2x-π)]3 Find y' at x=(π/6)

A: Compute the derivative as follows.

Q: b) Find derivative of the following: 1. y= 5x° + 2x -x + x* -9x+12 y=1-cos 20+3sine iI. ii. s= xln…

A: The detailed solution is as follows below:

Q: Use the chain rule to help you find dy/dx for each of the following functions: 10. y = (x²+4)³ 12. y…

A:

Q: Show that fi (x) = x, f2(x) = cos 2x are orthogonal on

A: Given that, f1(x)= x, f2(x) =cos2x and interval is [0, 90o] Wehave to find that the functions are…

Q: Which of these functions (or none of them): satisfies the equation (1) z=e" (y cosx-xsin y) or (2)…

A: