The function f(x)=x³ +x+1 is one-to-one. What is f-'(1) ? Your answer should be an integer.

Q: Solve for the derivative of the function using chain rule. 4. f(x)= (x3+4)5/ 3x4-2

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Q: The first derivative of f(x) = (5x – 6x)-3 will be.

A: Solution of first derivative

Q: Find the derivative of f(x) = 2x²+3x-1 if f'(-1)

A: Given: fx=2x2+3x-1

Q: What is the derivative of the function f(x) = 2x + 3 at the number x = 4?

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Q: Find all relative extrema of the function f(x) = x4 - 4x2 + 2 by using the Second Derivative.

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Q: 1 Is the function given by f(x)= 3x+2, for x ≤ 3, 4x-7, for x>3, continuous at x = 3? Why or why…

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

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Q: The first derivative of f(x) = (5x^4 - 6x)^1/3 will be?

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Q: f(x) = (6x² - 2x+1)^

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Q: Find the critical points and apply the Second Derivative Test (or state that it fails):  f (x) = 3x4…

A: fx=3x4-8x3+6x2 Differentiating with respect to x, we get f'x=3·4x3-8·3x2+6·2x=12x3-24x2+12x Again…

Q: 3. Is the function given by x²-4x-5 -,x< 5 f(x) =. x-5 x+1, x 2 5 continuous atx=5? Why or why not?

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Q: Find all possible functions f with the given derivative. f'(x)= 1/x-1, x is greater than 1

A: Obtain the all possible functions as follows.

Q: 4) Find the derivative of f(x) = (5x² - 3)² in two different ways.

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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)*

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Q: F(x) = x+1/7x^2+8x+7

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

A: According to the given information, it is required to find the derivative of the given function.

Q: what is the second derivative of  f(x) = 3(3x^3+2x^2)^10

A: We first find the first derivative using the power rule and chain rule.…

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 critical points and apply the Second Derivative Test (or state that it fails): f (x) = x5 −…

A: f(x)=x5-x3

Q: Find the derivative of the function. f(x) = (x + 1)(2x - 3) divided by 2x +1

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Q: Find all the critical numbers for the function g(x) = % xª -- x3 - 5x?

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Q: If I have f^-1(x)= -x+1 how can I find f(x)?

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Q: F(x) = (x^3 - 8)(4x^2+2x)

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Q: Where does the derivative of g(x)=(x^2)/((x^2)+3) = 0 or is undefined?

A: Given function, gx=x2x2+3

Q: Find an anti-derivative F(x) of f(x) = 7x³ – 6x² –- 1 satisfying that 7 F(1) = 4

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Q: Find the second derivative of the function. In(x) f(x) 6x2 f"(x) =

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Q: Find the derivative of the function. f(x) = 5x2 + 4x + 5 O 5x + 4 O 10x2 + 4x O 10x O 10x + 4

A: Given f(x)= 5x^2+4x+5

Q: Compute the derivative of: f(x) = 4/x+1/(5x^3+2x)

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Q: find the derivative of the function f(x)=x^3+2x at -3

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

Q: Find the second derivative of the function. f(x) = 8x + 50x-2 f "(x) = %3D

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Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: 2. f(x) = V-3x+ – 2

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Q: 3 Determine the 3rd derivative of the function f(x) = 2√√x-x³

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Q: Compute the Indicated derivative. 7. f" (x) for f(x) = 5x2-14x + %3D

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

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Q: find the critical points and apply the Second Derivative Test (or state that it fails).…

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Q: Find the second derivative of the function. . f(x) = 4x3/2 : 1. g(x) = %3D X-1 .. h(x) = secx

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Q: Find the derivative of f(x) = (5x 2 + 3x + 1) × (3x 2 + 2x − 1) × (x 2 − 1). Show all steps.

A: Given:f(x)=5x2+3x+13x2+2x-1x2-1

Q: Find the second derivative of the function f(x) = 8/(x − 2)2

A: Find the second derivative of the function f(x) = 8/(x − 2)2

Q: -f(x)=√√5x² +2

A: Please see the answer below.

Q: 1. Determine the derivative of: f (x) = 4x3 – x² + 5x + 9 %3D -

A: We need to find the derivative of the given function.

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 derivative of the function f(x) = v4-x2 by definition

A: The given function is f(x)=4-x2 The definition of the derivative is given by: If a function f(x) is…

Q: 2. Use the definition of the derivative to find f'(7) if f(x) = 4 + 3x – 2x.

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Q: 2) Find the derivative of the function f(x) = 3x² by definition

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Q: Find the local extremes of f (x) = x³ +2x+ using the first derivative test.

A: Given,         The local extremes of fx=x3+34x4 using the first derivative test.

Q: The first derivative of the function f(x) is given by its graph.. f'(x) 3- 2-

A: A.  Function is increasing when f'(x) &gt; 0  from graph  Function is increasing…

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

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.