Use synthetic substitution to find f(2) and f(-1) for each function. 1. (x) = x² + 6x +5 22. f(x) = x² – x + 1 3 3. f(x) = x²- 2x- 2 44. f(x) = x³ + 2x² + 5 5. f(x) = x' - x² -2x + 3 66. f(x) = + 6x² +x-4

Q: 1 Find the derivative of f(x) = V7+4x2 - 5.x2 +9

A: we apply chain rule in the first part and division rule in the second part

Q: Use the chain rule to find the derivative of  f(x)= 3(3x^10-6x^9)^17 You do not need to expand out…

A:

Q: If f(x) = 2x and g(x) = 3x4 - 1. Find the derivative of the product (f×g)(x). 30x 30x4-2 30x³ - 2…

A:

Q: 11. Differentiate the function (use chain rule): y = x²(x-1)³(2x-5)² ;

A:

Q: Find the derivative of the function. x2 +5 g(x) = x2 + 6x 6х? - 10х - 30 O A. g'(x) = x²(x + 6)2 2x3…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: find the derivative of the function g(x)=5x^-3+ 6x^-6

A:

Q: Find the derivative of the function. f(x) = (2x3 − 8x2 + 7)6

A: Given,           The function is fx=2x3-8x2+76.

Q: 1. Find the derivative of f(x) if f(x) = x7 + 10x5 – x² – 4

A:

Q: Use the chain rule to find the derivative of f(x) = 4(8z³ – 32")² You do not need to expand out your…

A:

Q: Find the derivative. f(x)=(3x+2)/(x^2-8) f(x)= (6x+3)/(2x^2+11x+5) y=(x-5)(2x+3)/(x^2-25)

A:

Q: Find the derivative of the algebraic function. f(x) = (x2 + 5x + 6)/(x2 − 4)

A:

Q: A long distance company charges a monthly fee of $4.95 and $0.02 per minute. Let f(x) be the monthly…

A: Solution:

Q: For k(x)=(x−1)(−x2−2x)(2x−2), find the derivative of k(x) using the product rule. Do not include…

A: Obtain the derivative of the function k(x) as follows.

Q: 9 8 Find the derivative of f (x) = 2a4 + x2

A:

Q: For the function g(x) = x², the average rate of change for the interval [-1, 3] is: For the function…

A: Here we have to find average rate of change of function.  The given function is g(x)=x2

Q: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² ,…

A:

Q: Suppose 8 (x) =V (x3 – 8)2. what is the correct result of the derivative of g with respect to x? 3x2…

A:

Q: The first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

A:

Q: Find the derivative of the following functions. 1. y= -7x^-5 + 4x^2 -19x + 2 2. y= 5x^3-15-25 3. y=…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Use the chain rule to find the derivative of 15 f(x) = 4( – 2a + 10x')" You do not need to expand…

A: We can find the derivative using chain rule as below

Q: Find the derivative.  f(x)=5x^2e^3x options  - 5xe^3x(2x+3) - 10xe^3x(2x+3) - 10e^3x(3x+3) -…

A:

Q: ose the percent of males who enrolled in college within 12 months of high school graduation is given…

A: Given: y=-0.126x+55.72 y=0.73x+39.7

Q: 3x- 7x -4 Find the derivative of y = 2 O A. y' = 9x2 +8x-3 O B. y' = 18x2 + 8x-3 OC. y'= 9x? + 8x³ -…

A:

Q: Find the first and second derivatives of the function. (6t2 - 4)2 (5t2)

A: Given function: f(t) = (6t2 - 4)2 (5t2) = (36t4 - 48t2 + 16) (5t2) = 180t6 - 240t4 + 80t2 Recall the…

Q: Find the third derivative of the function f(x)=2x^(5)-6x^(4)+7x^2-9x+20

A:

Q: 1. Find the second derivative of f(x) = x5 – 4x + 1. а. 5x3—4 ь. 20х3 с. -20х3— 4

A:

Q: Find the derivative of the function. f(x) = (x3 − 3x2 + 4)/x2

A: Given,          fx=x3-3x2+4x2

Q: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

A:

Q: Find the derivative of the function. f(x) =  x3 − 4 x2 + 2

A:

Q: 2) Use the second derivative test to find the local extreme values of y= x5 – 5x³+7

A: Given that, We will find the local extreme values of the function as following.

Q: Find the derivative. 4 20) f(x) = 4 2 ,find f'(x) + 4 10 2 B) - x3/2 x2 x4 4 10 A) x1/2 x2 x6 4 10 4…

A:

Q: Use the chain rule to find the derivative of 18 f(x) = 2(5æ4 – 2x") You do not need to expand out…

A:

Q: Find the derivative of the algebraic function. f(x) = (4 − 3x − x2)/(x2 − 1)

A: We have to find the derivative of the algebraic function: fx=4-3x-x2x2-1 Rewriting the function,…

Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

Q: 1) Find the derivative of f(x)= 2x³+ 2x +12. Then evaluate the

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8x Find the numerator of the derivative of the algebraic function x5+3 -8 (3 + 5x^5) -8(3 + 6x^5) 8…

A: The given algebraic function is fx=8xx5+3. Calculate the numerator of the derivative of the given…

Q: Find the derivative of the function f(x) = 8x² – 14x by the definition of derivatives f(x+h)-f(x)…

A: Given function: fx=8x2-14x

Q: Find the first derivatives: 3. g(x) = (1 + 2x²)(x – x²)

A: As per bartleby guidelines we only give first question answers.

Q: Compute the derivatives of the given function. f(x) = (2x+3x-)(2x²-3x-) a -444 Find the first…

A:

Q: Q 6. Find the derivative of (3x2-2x)2 using the product rule and the chain rule.

A:

Q: Suppose a company has fixed costs of $12,300 and variable cost per unit of $0.20 x+128 dollars,…

A:

Q: Rewrite the function g(x) = ((x^2)-1)/((x^2)+2) so that you can solve for the derivative using the…

A:

Q: 2. Find the derivative of f (x) = (3x – 2x? )(5 + 4x) using the product rule

A:

Q: - Find the derivative of the function : ƒ(x)= V2x + 3

A:

Q: Suppose 8(x) =V (x³-8)2. what is the correct result of the derivative of g with respect to x? 3x2 A…

A:

Q: Find the derivative of the function. %3D X-1 y'= 23,3,2 (x-12 y = -2+3x2 (x- 12 y = 203ి - మెపి (x -…

A:

Q: 4x Find the derivative of f(x)= In- 3x+2

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the derivative of the function using Chain Rule. f(x) = (2x-5) ¹ (4x+3) Given -2(12x-17) Answer…

A:

Q: Find the derivative of the function f(r) = 3x² – 12x by the definition of derivatives | f(x +h) -…

A: here option C is true 6x-12