If f(-9) = 2 andf'(x) < 9 for all x, what is the largest possible value of f(1)?

Q: y = In (x* + 5)³

A:

Q: Find the anti-derivative of f'(x)=7x

A: Given : f'x = 7x

Q: how do you solve for the critical points of the first derivative of this function? x/4+x^2

A: Differentiating with respect to x, we get

Q: Find the derivative of f( x ) = 2° log3(z + 2.5) f'(x) =

A: The first derivative of the function is . The product rule of the differentiation is .

Q: Find the second derivative. -5x f(x) = (5 + 4x)e" f"(x) =

A:

Q: Find the second derivative. 9. f(x) = V4x-5 f"(x) = f'"(x)=|

A:

Q: Compute the derivative of f(x) = 7 ln (x + 10) + In (x³ ): Answer: f'(x) =

A: Given function is  f(x)= 7ln(x+10) + ln(x3), we have to find the derivative of f(x) with respect to…

Q: compute the derivative f (x) = ln(4x2 + 1)

A:

Q: Find the second derivative of f(x) = (5+7x)e5". f" (x)

A: Topic :- Differentiation

Q: 5 In this problem we will apply the second derivative test to the function f(x) = 4x + %3D

A: Given : fx=4x+5x

Q: What is the first derivative of q(x)= ln((7x^2+3x+7)/((x^5/6)(tan(x)))

A:

Q: 14) Find the first derivative of f(x)= 2*2*

A: The derivative of ax is axlna. The derivative of xn is nxn-1, where n is any integer. The chain rule…

Q: Find the derivative of f (x) = 9x − 5 at x = 2 and x = 5.

A: The derivative of a function f(x)  at a point a  can be calculated by applying the value a   to the…

Q: Sometimes the second derivative test is harder to use, even if it applies. Use the first derivative…

A: Given,

Q: What is the first derivative of p(x)=3^(x^5)?

A:

Q: What is the second derivative of f(x) 2x-3 2 x+1 10 (x+1)* 10 3 (x+1)° -10x+10 (x+1)* 10x-10 (x+1)*

A:

Q: Find the derivative: y = 6 In x 6 ln x-1 x7 1-6 ln x 12 1+6 ln x x12 4 O 1-6 ln x x7 O

A:

Q: What is the first derivative of f(x) = ]n( 3x´+7x 5x

A:

Q: Find the second derivative of the function. 8. f(x) = 4x3/2 9. g(x) = x-1 10. h(x) = sinx

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

Q: Find the derivative of the function f(x) = 5ª+x² + log3 (In x). %3D

A: To find the derivative of the given function.

Q: 3) Find the derivative f(x) = xe-*In(x³) %3D

A:

Q: What is the inflection point of the function f(x) = x5 ln(x)?

A:

Q: .3 Find the derivative of h(x) =In x³ + 2 x5 – et -

A:

Q: An articlet in The New York Times states, "The number of gas stations [in a city] grows only in…

A: We will use the given relation between population and gas station.

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

A:

Q: when you have f(x) = x^2 + 7x +10 / x^2 - 7x +6 what is the average rate of change of the function…

A:

Q: What role does the denominator of f'(x) play in finding the critical points (in other words, what do…

A: The given data is: f'x

Q: find the function with the given derivative whosegraph passes through the point P. g'(x) = 1/x2 +…

A: g'(x)=1x2+2x,P(-1,1) Formula ∫xndx=xn+1n+1+C

Q: What is the first derivative of f(x) = √√x² + 2x − 1?

A: Given the function,    fx=x2+2x-1

Q: 2. Find the derivative of A(x) = L% V1– x³dx

A:

Q: find the critical points and apply the Second Derivative Test (or state that it fails). f(x) = x^2 −…

A:

Q: Find the second derivative of .2 y = Vx² + x-3 O 6/x^2 O 12/x^3 O 6/x O 12/x^5

A:

Q: If f(x) = x-2 x² +4 then what is the derivative of fat x=2?

A:

Q: 10) Find the second derivative of f(x) = 3e³x − 8e-6x 5x

A:

Q: Suppose a student is a carrier of the flu virus and returns to his isolated campus of 1000 students.…

A:

Q: Find the derivative of f(x) = 4Vx + +4. O 4 + In(x) 4 x3 O 2 2 .2 O 2-4 O 2/x 4x-2 | 2

A: Given function is fx=4x+2x. We have to find the derivative of fx=4x+2x. Differentiate fx=4x+2x with…

Q: 2) Find the derivative of g(x) = 4x^2−3x+5 using the limit process.

A:

Q: Find the derivative of f(x)= 11x^2 at x=1

A: Given:    f(x) = 11 x2  at x = 1

Q: 6. Find the local maximum and minimum values of f (x) = 9 + 9x² – 6x³ using both the First and/or…

A: In this question we have to find local maximum and minimum values of the function.

Q: Find the first derivative given that f(x) 5x V2r+3

A:

Q: Find all possible functions with the given derivative. = రx = 1x 2x

A: The answer is given below

Q: 9) Find the value of the derivative at the point x=2 if f (x) = xv2x – 7

A:

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

A:

Q: Find the second derivative. f(x) = (5 + 4x)e−3x   f''(x) = ?

A:

Q: Suppose the first derivative of a function is f'(x) = (x- 30)(19x+ 1). The function f is decreasing…

A:

Q: 8) Find the first derivative of f (x) = sin 2 (x3).

A:

Q: It is projected that x years from now the population of a certain city will be changing at the rate…

A:

Q: Find the derivative of f(x)= ln x^2/x^2+1

A:

Q: The first derivative of f(x) = (5x* – 6x)/3 will be 20 A. Gx* - 2) (5x* – 6x)i B. (20x³ – 6)(5x* –…

A: