Consider the following function. P-3 p² + 3 Find the derivative of the function. h'(p) = Find the values of p such that h'(p) = 0. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) p= h(p) = Find the values of x in the domain of h such that h'(p) does not exist. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE. p= Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) P =

Q: Find the derivative of the function.

A: Given function is By using the properties of logarithm, ln(a/b)=ln(a)-ln(b) and ln(a^b)=bln(a), we…

Q: 4 Find the derivative ofƒ(x) = 4ex - 3x2

A: Differentiate both sides with respect to x.

Q: xy2+5x2-3y2+45=0  (1,5)   Evaluate the derivative at the given function point.

A: We have to find derivative

Q: Given functions f and g for which f(- 6) = 1, ƒ'( – 6) = 1, g( – 6) = 6, and g'(- 6) = 2. Evaluate…

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Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

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Q: Find f'(x) and f"(x). f'(x) f"(x) f(x) = X +² 9

A: Given query is to find indicated derivative .

Q: #1 Find the second derivative of each function 4x+2 a. a. f(x) Зх-6

A: First calculate 1st derivative of f(x) and g(t). Apply  d/dx of (u/v) in problem a. and chain rule…

Q: 5 2x + 4

A: Given that a function f(x)= 5/(2x5 + 4). We find first , second,and third derivative of this…