ule says df f(g(x)))' = f'(g(x)).g'(x) or where u = 9(a) du -, (tan(x² + 3x - 1))' = sec²(x² + 3x - 1)-(2x+3) 4 ollowing the example . WORK du da above find the derivative: (CSC (7x³ - 2x²+x-1)

Q: a) f(x)=5x²e²x

A: We used the product rule.

Q: 9,3 5 y = 10(1 + (2 − (6 + 7x²³)9³)

A:

Q: In(cos(x)) cos(In(x)) Find the derivative of

A: Quotient Rule of differentiation: ddxuv=vdudx-udvdxv2

Q: take the derivative. g(x) = sec' x-(x° +3)

A: Our Aim is to take the derivative of g(x)=(sec3 (x) (x5+3)) -(i)

Q: If (a, b) is a critical point of the function z = g (x, y) and g (a, b) < 0 , then (a, b, g (a, b))…

A: The solution is given below in the next step:

Q: find the derivative: a) f (x) = arctan (arctan (arctanx)) b) f (x) = arctan ((tanx) (arctanx)) c)…

A:

Q: f(x) f'(x) x100

A:

Q: find derivative of (cosh(x)-x2 ) /  (e2x-1)

A:

Q: f(x) = x' tan (5x)

A: Explanation and solutions is given below....

Q: Find derivative of: g(x) = sin(x-3x2)

A: Given query is to find the derivative of g(x).