In Exercises 93-98, let f(x) = sin x, g(x) = cos x, and h(x) = 2x. Find the exact value of each expression. Do not use a calculator. 4 93. + fl 6 94. + 6. 6 17 95. (h º g) 3 97. the average rate of change of f from 37 X1 = to x2 = 2 98. the average rate of change of g from = Ix to x2 = T 4

Q: What rules do you know for calculating derivatives? Give some examples.

A: Given:What rules do you know for calculating derivatives? Give some examples.

Q: Let f(x) = x2 g(x) = 2x-3 h(x) = Vx +1 %3D %3D 5. (g o f)(1) = gCF(I) =g(1) (go F)CI) = 2C1)-3…

A: As per guideline we have to solve one question

Q: Even,odd, or neithe?

A: The given function is f(x)=x55+x4

Q: Consider the following. f(x) = (a) f(x) = −4x³ + 7x4 − 9x +3 (b) Evaluate each of the following.…

A: Given: To Find: (a) To find (b) To evaluate .

Q: Find f'Ce) g function. of the following f (x) X5 %3D 5.

A:

Q: determine the increasing and decreasing values

A: Given graph is

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A: the range is all the values the inverse function of Trigo can take.

Q: The derivative of a sum of functions is the sum of the derivatives of each function. O True O False

A:

Q: 15) Given f is a one-to-one function with values f(-4) = 7 and f(9) = -15. Find the corresponding…

A: Solution: The objective is to find the corresponding inverse functions

Q: Write a derivative formula for the function fx)- 12.2(4.7 x2 1.5475x(4.7-2( 4.7*) f'(x) 12.2 = X

A: Given

Q: Composites of Functions

A: As per company guidelines, I can solve only first three subpart.

Q: Which shows that f(x) = a² and f (x) = ±V are inverse functions? O a = (v)ª (V=)² = V = Va? O a = VE

A: Check all the options.

Q: Referring to f (x)= 1/x which function shifts down 6 units?

A: Answer

Q: Determine whether f and g are inverse functions by evaluating (f o g)(x) and (g o f)(x). f(x) =…

A: The function f and g are f(x) = x6+7x g(x) = 6x1-7x we have to determine whether each pair  of…

Q: 7. f(x)= (4x²-3x5)7

A:

Q: How I write h(x)=x2-1 in a functions equation?

A: Consider the given function

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct…

A:

Q: Example 3: Find the inverse of y=x+1, expressed as a function of x.

A: For finding the inverse function, we will replace x with y and y with x as follows

Q: P(x)= -x+ 12x-36x+400, x23 is an approximation to the total profit (in thousands of dollars) from…

A:

Q: Use the first derivative test and the second derivative test to determine where each function is…

A:

Q: The derivative of the function ()100 is equal to Select one: 100 a-100) cos x 99 O b-100( cos x exin…

A: According to our guidelines we are allowed to solve one question. We’ll answer the second question…

Q: Plot the function f(x) = sin(x)cos(2x) and its derivative, both on the same plot, for 0<x<2n. Plot…

A: Given f(x) =sin2(x)cos(2x)⇒f'(x) =2sin(x)cos(x)cos(2x)-2sin2(x)sin(2x)

Q: Defermine day 'it 2ay -ŷ<3

A: Given: To Find: