Given y = f(u) and u = g(x), find dy/dx = f'(g(x))g'(x). %3D %3D y = u?, u = 2x - 4 %3D %3D

Q: fx) D, f(쪽) -1, and f(플) %=D1, and COSX 3 f) = -1. Find S f(x) dx. %3D

A: Given that  f'x=cosxx, fπ2=-1 and f3π2=1find ∫π23π2fxdx

Q: e* + sin x = 2/xy , find y' %3D

A:

Q: Find dy/dx if 3 (cos y) (sin x) = y

A:

Q: what is the second derivative of y(t)=e^-2t and y(t)=e^-3t

A:

Q: y=u (1+u³)* and u = (3x - 2)²

A:

Q: y=(sinx)x    d2y/dx2 ?

A: Apply exponent rule and solve:

Q: Use differentiation rules to find y' = dy/dx.

A: Rearrange y to get y in fractional form.

Q: y = (1+) - (1+)*

A: We have to find dy/dx for the given function.

Q: d'y dy and y-(x3+2x-1)1/2 find dx dx

A: Given, y=(x3+2x-1)2we need to finddydx andd2ydx2

Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

A: We have to find the general solution of differential equations

Q: Solve  (dy/dx) = (y/x)

A: By  variable -separable  method  we separate the variable

Q: Find the derivative of the function y = (4x + 5)°(5x + 1)~ª. dy dx II

A: For the solution of the problem follow the next step.