3. Consider the function (a) Find the derivative f'. (b) At what values of z ia l(2) undefined? (e) At what values of z is f'(z) = 0?

Q: f(x) Consider the function h(x): x+1' Give the formula for the derivative h'(x).

A:

Q: Find the first and second derivative of the function. Check to see that your answers are reasonable…

A: This question is related to differentiation, we will use basic rules of differentiation to solve it.

Q: What is the derivative of f(x) = x² +x² a +2 where a is a constant ? xa+2

A: We write f(x) using exponents f(x)=x7+x2+a+2xa+2f(x)=x7+x2+(a+2)x-(a+2)

Q: Find the derivative of the function. y'(x) =

A:

Q: Let f(x) = 1 Find f' and f" (the first and second derivatives).

A: f(x)=13-x

Q: Find the derivative of the function f(x) = 9axe-2bx. Assume a and b are constants. f'(x) =

A: Given fx=9axe-2bxWe need to find the derivative f'(x)

Q: Find the first derivative f' and the original function f. f"(x) = x³ - 12x, ƒ'(1) = 0, ƒ(1) = 10

A: Topic - Differential equations We are given f''(x)=x3-12x ,f'(1)=0 ,f(1)=10 ∫xndx=xn+1n+1+C

Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: Find the derivative of the function. y = x + 5 y' = Your answer cannot be unde

A:

Q: Write the product as a sum: 18 sin(38z) sin(23z) =

A: The given expression is: 18sin(38z)sin(23z)...(1) Note that the formula used is: 2sin α cos…