Let p(x) = x² sec(x)-x cot(x). Find the instantaneous rate of change of p at the point where Compute the derivative p'(x) . What is the instantaneous rate of change of p at the point where x = 4? Write your answer in a complete sentence.

Q: 4 find f'(3). x2 If f(x) =

A:

Q: Find the derivative. Simplify where possible. y = sech - 1 ( e -x )

A:

Q: Find the derivative of g(x) = 4x tan x.

A: The given function is: g(x)=4x5 tan(x)

Q: Find the derivative of ƒ (x) = 8ª ln (x).

A:

Q: Determine the second derivative of the function: g(x g(x) = ex X

A:

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

A:

Q: Find the derivative of the function y = 9 sec- (x + 5). (Use symbolic notation and fractions where…

A:

Q: Find the derivative of f (w) = 7ln (w) + 18.

A:

Q: find the derivative

A:

Q: Find the derivative of f(x)=2 by using the definition of the derivative. %3D

A:

Q: How do you find the derivative of this? Do not simplify the answer.

A: Let's first reduce our functiony=x3x3​+x​​=>y=xx+x​​=>y=xx​+xx​​=>y=1+x​1​=>y=1+x−21​Now…

Q: Find the derivative using the methods of Example 6 in the text. y = x8x y =

A: Consider the equation y=x8x We have to find the derivative of y=x8x Taking logarithmic both the…

Q: Calculate the derivative. g" (0), g(s) = es S+7 (Give an exact answer. Use symbolic notation and…

A:

Q: If 2x² + y² = 19 then evaluate when z = when = 3 and y = 1. (Answer accurate to two decimal places.)

A:

Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: How do you find the derivative of the product of two functionsthat are differentiable at a point?

A: Consider the two functions f(x) and g(x). f(x)·g(x)'=f'(x)g(x)+g'(x)f(x). Here f(x)·g(x)' represents…

Exponential Growth Model

The relation that represents an exponential function is: