for the function f(x)= sqrt(x)/x-2 b) for what value of x is f(x)=1 ?

Q: For the function f(x) = 4x- 3x +2x +6x +2, find f"(x), the third derivative of f, and f''"(x) = %3D

A:

Q: The derivative of f(x) = 3 (22 + 4x) is - O 3x + 12 O -3x-2(2x + 4) 3x-2(2x + 4) O 3 -3x-3 (2x + 4)

A:

Q: The derivative in question, solve f´(2) if f(x) = x^3 – 6x^2 + 9x + 3 Determine the largest and…

A:

Q: Find the indicated derivative. 5x2 f'(x) for f(x) = %3D 9x - 4 f'(x) =|

A: We are solving the problem by The by parts rule of derivative.

Q: b) Use the definition of the derivative to find the derivative of f(x) = 4x³ + - at a = 1. 23

A: Given: fx=4x3+1x3; x=1 We know that ddxxn=nxn-1                                          ..1

Q: What is the derivative of* 2х + 3 f(x)%= 2r2 + 7r +6

A:

Q: The derivative of f(x) 4 (x2 + 3x) is O -4x3 (2x + 3) -4x 2(2x + 3) 4 O 4a-2(2x + 3) 4.x + 12

A:

Q: Solve f(x) = (1/5)x where f(x) = 0 ( do not convert it to decimal form)

A:

Q: For the function f(x)=2x^3-12x^2+20, Use the SECOND DERIVATIVE TEST to find the relative extrema.

A:

Q: Match the function from the left side to its derivative. 1. x16 -4x-5 3 a. 2. 15 b. 3. ** 15x4 с.

A:

Q: Find the second derivative of the function. f (x) = 5(2 – 7x)*

A: Find the second derivative of the function

Q: For which values of c does f (x) = x2 + cx + 1 have a double root? No real roots?

A:

Q: Find the indicated derivative using the definition f(x) = 2x4+3x3-2x+7: f'(0)

A: Differentiation is the rate of change in the value of the dependent variable with respect to the…

Q: Find the second derivative of the function f(x) = 5x2(x + 47) %3D

A:

Q: Find the higher-order derivative. f"(x) = 16x³ – ? 34x f'"'(x) = %D

A: To find the third order derivative , we need to differentiate the gives function with respect to x.

Q: For what values is the function f(x)= ln(x+1)/x^2+1 continous? Can you please explain how to…

A: If , g(x) is continuous and h(x) is continuous. Then g(x) / h(x) is continuous.where h(x) not equal…

Q: For the function f(x) = (5x² − 2)4 determine the second derivative in factored form.

A:

Q: Find (f −1)'(a). f(x) = x3 + 7x + 8, a = 0 (f −1)'(a) =?

A:

Q: Find the derivative of the function f(x) (3x+6)? 6x2+13

A:

Q: What is the domain of f (x) = ln(x – 3) + 4?

A: Domain where fx is well defined.

Q: Find f'(x) using the rules for finding derivatives 4x2 - 5x + 2 f(x) = 3x +7

A: We have to find

Q: The ratio of f(x) to g(x) is 3: x+2. If f(x)=x-2, what is g(x) in terms of x?

A: we have given ratio of f(x) to g(x) is 3: x+2 and  f(x)=x-2

Q: Jx + 2x f(x)=- 7х — 4х? 8.

A:

Q: If a F (2) = xy+i (x² – y²), what is F (-1+2i)?

A: given  F(z)=xy+i(x2-y2) To find the value of  F(-1+2i)

Q: Solve f(x) = 0, where f(x) = (x + 4)²(1 - x).

A: We have been given the function  f(x)=(x+4)2(1-x)

Q: For the f(x) = 1/1-X^2 and g(x)= x^2/1-X^2 A) shows that these functions have the derivative B) what…

A: We need to find relation between f and g.

Q: Find the derivative of the functionf(x)= 9x² + 4x +6, using the definition of the derivative,

A:

Q: For the function f(x) = 8x^3-2x^2+2x, Find the equation of the tangent line at x = 2.

A: Please see the answer in Step 2

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 3

A:

Q: 4.Given f(x) = 7x² + 4x – 1, find f(--).

A: Given fx=7x2+4x-1.

Q: Find the derivative and simplify. f(x) = (x12 + 4x4 + 5)(2x3 - 1) f'(x) = %3D

A: Given : fx = x12 + 4x4 + 52x3 - 1

Q: 4. What value of x would make f(x) = 12? %3D

A: Given:  f(x)=12 We have to find the value x would make f(x)=12.

Q: Plot f (x) = x e - x and use the zoom feature to find two solutions of f (x) = 0.3.

A: Using a graphing calculator we plot f(x)

Q: Find the derivative and simplify. f(x) = (x12 + 3x* + 5)(2x³ - 1) f'(x) = %3D

A: Some differentiation formulae: ddx(xn)=nxn-1ddx(c)=0  ; c is any consant value Given function is…

Q: Given f(x)=ln(5x), what is f'(x) when x=14.2?

A:

Q: 31. f(x) g(x) =

A:

Q: What are the domain and range of f (x) = ln x?

A: Given function:   Domain: The domain of a function is the set of  input  values for which the…

Q: What is the value of In[f'(2)]if f (x) = e*?

A: Our Aim is to tell the value of ln f'(2) if f(x)=ex-(i)

Q: Does the graph of y = sqrt(x) - ln x, x> 0, have an inflection point? Try to answer the question…

A: To determine if the function has an inflection point.Part (a) By GraphingPart (b) By Calculus

Q: What is the value of f(1) - 168 in [x³ Inx dx = f(x) ((1/4) Inx-B) + C? 0 1 3 2

A: Let's evaluate given integration.

Q: The derivative of f(x) = 10 (x2 + 13z) is О 10х + 130 О 10х ?(2т + 13) O 10 O -10x 3(2x + 13) O -…

A:

Q: Find the second derivative of the function. h(x) = 6x−2 + 7x2

A: Given function is hx=6x-2+7x2   Differentiate the function with respect to x.…

Q: Given use the definition of the derivative to show that f(x) = 4x + 3x- 1 f' (x) = 8x + 3

A: f(x)=4x2+3x-1 Definition of derivative:…

Q: find f'(x) of f(x) = sqrt(e2x+2x)

A:

Q: nd the derivative of th

A:

Q: find the derivative g(x) = sqrt((x^2+2)/(x^2+4))

A:

Q: Given f(x) = -x – 1, solve for x when f(x) = 6. %3D

A:

Q: Find the second derivative of the function f(x) = 5(2 − 7x)4

A: Find the first derivative as shown below: f'x=ddx52-7x4        =42-7x3ddx2-7x        =5· 42-7x3-7…

Q: Given f(x) = 3x² + 2x. Use the definition of the derivative to show that f'(x) = 6x + 2.

A: