Suppose and investment's value, V, can be tracked with the function v(t) = 932(1.005)120), www. , after I years. How much was the investment initially worth?

Q: What is the derivative of x^6

A: We have to use exponent rule.d/dx(x^n)=n*x^(n-1)

Q: The growth rate G of a population of animals in a conservancy was documented. If the growth rate…

A:

Q: Approximate the value of √98 using the derivative.

A: Let us take the function: f(x)=xf'(x)=12xWe will take x=100at x=100f(x)=100=10f'(x)=12100=120

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x3 +…

A:

Q: Find the higher-order derivative. f"(x) =4/x - f(5)(x) =

A: Just I have used the rule of derivative and then find the required derivative of the given function.…

Q: Write a derivative formula for the function. x) 12.2(4.7*) x2 (12.2 ln(4.7) x-2) - 4.7 f'(x) = х

A: Given,

Q: How do you find the fifth derivative of a function?

A: To find the derivative we differentiate the function once.  To find the second derivative we…

Q: How can you sometimes graph the derivative of a function when all you have is a table of the…

A: We can draw the graph of derivative of a function using the values given to us in table of of the…

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (8x4…

A: Given: y=8x4+53

Q: Find the derivative of the function f(x) = In(2a? + 5æ)

A: ddxln (x)=1xddxxn= n xn-1

Q: Explain in words how to evaluate the derivative of function?

A:

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

A: Given function is y=ex-12. To find the derivative of the given function. Solution: Chain rule of…

Q: Find the derivative of function. y = log2(2x2 - x)5/2

A: Given, y = log2(2x2 - x)5/2 To Find the derivative of function.

Q: Find the derivative of f( x ) = log3(x + 6.5). f'(x) =

A:

Q: Find an expression for the derivative of the exponential function y=ex using the definition of…

A: To determine the derivative of exponential function y=ex using definition of derivative.

Q: Solve for the second derivative of the following implicit function

A: We can solve this as follows:

Q: Find the derivative of the function. h(x) = (4/x^2)+(6/x^3)

A:

Q: Calculate the derivative. f (x) = (x + 3)(x − 1)(x − 5)

A: The given function is In the expanded form the above function can be written as

Q: sketch the graphof the function and state its domain. f (x) = 4 ln(x − 2) + 1

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Find the derivative of f(x) = log35x2+1

A:

Q: Write a derivative formula for the function. f(x) = 2x 5x + 6 + 91 f'(x) =

A: To write the derivative formula of the given function.

Q: compute the derivative. f (x) = esin2x

A: Differentiation of the function with respect to x helps to find the derivative of the function. The…

Q: What is the derivative of the following function?

A:

Q: How do you find the derivative of the sum of two functionsƒ + g?

A: we have to determine how to determine the derivative of the sum of two functions that is f+g.

Q: What is the derivative of the exponential function ex? How does the domain of the derivative compare…

A: To determine the derivative of the function ex and domain of the derivative.

Q: Use the Power Rule to compute the derivative: I-13

A: Solution...

Q: Find the derivative. g(x) = (4x – 2)° – Vr + 8

A:

Q: find the derivative of the function f(x) = 7(x^3-x)^4

A:

Q: What is the fourth derivative? x^12+1

A:

Q: Determine the derivative of 6x log3(x)

A:

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

A:

Q: What is the derivative of a constant function?

A: The derivative of constant function is always zero.

Q: Find the derivative f(x)= Inlex+9)

A: To find: the derivative of f(x)

Q: calculate the 21st derivative of function f(x) = 20-x

A:

Q: 23: USE THE DEFINITION OF THE DERIVATIVE to find the derivative: :9(x)=3

A:

Q: Find the derivative of the function. F(x)=x^3-6/x^2+5

A: GivenFx=x3-6x2+5We have to find the derivative of the function .Rule apply :-Quotient rule…

Q: A research was done to study the effect of ambient temperature, x, on the electric power consumed,…

A: Solution

Q: Find the derivative. 8

A: The given equation is

Q: Calculate the derivative by expanding or simplifying the function.

A: To find the derivative of the given function.

Q: Use the second derivative test to find the extreme values of the function 49 f(x) = 25x +

A:

Q: average rate of change

A:

Q: What is the instantaneous rate of change of the function f ( x ) = 5 /x  at x = 3 ?

A: Given,        The instantaneous rate of change of the function fx=5x at x=3.We know that,…

Q: When looking at the graph of an original function, how do you know when the derivative of the…

A: To find the derivative, for your visualization, just draw the graph and the graph of its derivative.…

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: 1/3 for

A: Answer

Q: Find the indicated derivative. f'(-5) = If f(x) = x², find f'(-5). X

A:

Q: Evaluate the second derivative of the function at the given point f(x)=9/√x+9    (0,3)

A:

Q: Select the correct graph of the second derivative of the given function /)

A: Given graph of a function.

Q: Determine the derivative function for f ( x ) = 6 x^3 + 9 − 7/x^2.

A: Consider the given function. fx=6x3+9-7x2 The objective of the problem is to find the derivative for…