Consider the function f(x) = x'e¹.

Q: 1-x e) f(x) = 1+x

A:

Q: If g(x) = f(x) - h(x): find g'(x)

A: Given : gx = fx - hx

Q: Find the derivative of the function

A:

Q: Let f(6) = 54 and f'(6) = 19. Let g(x) = (13+x²)f(x). Calculate the value of g' (6). %3D

A:

Q: Find the derivative of f(x) = x2√(1 − x2)

A: Given:

Q: Find f′(x) and simplify.   ​f(x)=1/(x+35)  f'(x)= .....?

A: Differentiate wrt x

Q: f(x) = x²(x

A:

Q: Determine h(1) and h'(1). h(x) = f (x) / g (x)

A: Value of the function is , the value of combined function, when variable is replaced with that…

Q: Let f(x) = (x² + 3x)e*. Determine the value of the third derivative of f(x) for x = 0.

A:

Q: Find the derivative of f (x) = e(x3 − 10x2 + 8 ) .

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Let g(x) = log3(æ). Find g'(4). g '(4).

A:

Q: Find f′(x) if f(x) = lnx / x2

A:

Q: Let f(x) = x x+1 g'(x) = X . Calculate g'(x), where g(x) is the inverse of f(x).

A: Let f(x) = x/(x + 1)We have to calculate g'(x) , where g(x) is the inverse of f(x).

Q: Determine the derivative of f(x)=(e3x−1)5.

A: We have to find the derivative of function

Q: Find the second derivative of f (x) = 3e5x− 8e-6x

A: Given ,  f (x) = 3e5x-8e-6x we have to find the second derivative of the given function.