Given y = f(u) and u = g(x), find dx = f'(g(x))g'(x) for the following functions- y = sin u, u = 4x - 5

Q: given f(x)=250e0.04x, find f'(14)

A: Given,

Q: If y = (9x + 5)x, find y'(1).

A:

Q: Find f'(0) for the function f (x) = 3.xe 5x %3D Answer:

A: use the formula for the derivative  d ( u v ) = u dv + v du  ddxeax=aeax,ddxax=a

Q: Find the derivative of the function, f (x)=(3x-2)° (2x+5)

A:

Q: If f(x) = (5x + 3)-', find f'(x). Find f'(2).

A:

Q: Find the derivative of f(x)=(9x4−7x)5.   f′(x)=

A:

Q: of f(x) = 24, find f'(1).

A: Given query is to find indicated derivative.

Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 9x° + 5x2 + 8x %3D

A: differentiate wrt to x

Q: Find f"(x) for the function f (x): = x cOS X

A: The given function is fx=xcosxTo find f''(x)

Q: Use the following information to determine an equation for f(x): f"(x)= 6, f '(0) = 4, and f(0) =-5.

A:

Q: g(x) = 9x ܢ 4x u + 1 u² +1 -du

A:

Q: Find the derivative of y = 5.20 - x². dy dx - J

A: The Sum/Difference Rule:The Power Rule:And