Find the difference quotient f(x+h-f(x)/h (assume h is not equal to 0) for           F(x)=2x-3x^2

Q: Find the third derivative. f(x) = 6x9 – 8x6 f"(x) = %3D

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Q: Find derivative of f(x) = x^5-7x^3+8

A: We have to find derivative of  f(x) = x5 - 7x3 + 8 We know that  If f(x) = xn then  f'(x) = nxn-1…

Q: 3. Use the first derivative test to locate all local extreme for f(x) = x - 9x2 + 24x

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Q: use the definition of derivative to find f prime (x). f(x)= 3(2x-1)^3

A: Given function is fx=32x-13. To find the derivative of the function using definition of derivative.…

Q: Apply the First Derivative Test to identify all relative extrema. f(x) = -7x³ + 21x +3

A: fx=-7x3+21x+3 Differentiating with respect to x, we get f'x=-73x2+211+0⇒f'x=-21x2+21 Now to find…

Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

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Q: Find derivative using product or quotient rule

A: f'(x)=((x2)'(x+3)(4x-1)-x2((x+3)(4x-1))')/((x+3)(4x-1))2       (Using quotient rule)…

Q: Use derivative rules to compute f'(-1) given f (x) = -4x8-32x - 4.

A: f(x)=-4x8-32x-4Formula: xn'=n xn-1

Q: Use the chain rule to find the derivative of f(x) = 4/2x° + 7x7

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Q: Use derivative rules to find f'(x). 4. f(x) = (2x² – 3)(3x – 1) -

A: f(x) = (2x2-3) (3x-1)derivative rulef(x).9(x)' = f'(x)9(x)+f(x)g'(x)or (uv)' = u'v+uv'

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. x2 + x – 8 f(x) x2…

A: Our Aim is to find the derivative of the function given below:-f(x)=x2+x-8x2-8-(i)

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−67xf(x)=7-67x, and the line…

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Q: Use the Second Derivative Test to find all relative extrema of the function f(x) = 2x - 6x +7.

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Q: Use the second derivative test to find the local extrema for the function. y = 3x5- 25x3 + 60x + 20

A: We can use the application  derivative in order solve the given problem.

Q: Determine the relative extrema of the function f (x) = = x' 3x² 24x + 32 using the second derivative…

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Q: Find derivative using quotient or product rule

A: To find the derivative of y using quotient rule or product rule.

Q: Find the derivative. g(x) = (4x – 2)° – Vr + 8

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Q: Use secant method to estimate a root for function f(x)= x3 + 2.7x+ 2.6 = 0, starting for interval…

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Q: Find the derivative using the formal definition f (x) = 3x2- 4x – 2

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Q: Find f'(x) from f(x)= = 2x³x²x+ 2 using the definition of a derivative. (Do not include "f'(x) =" in…

A: Use simple differentiation formula.

Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: 2) Use the definition of the derivative, f'(x) = lim Ax-0 derivative of f(x) = 5x² + 3. f(x+Ax)-f(x)…

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Q: Find the derivative f(x)=2x^5(√2x^5+5x^4)

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Q: Use the definition of derivative to find f(x) = 2-x+2x^2

A: Given,          fx=2-x+2x2

Q: Find the derivative of f(x) = -2x Or) - 6x2 Of (x) = -6 x2 Of (x) = -6 x3 %D Or-6x* f (x) = 6 x4 %3D

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Q: What is the derivative of a function f(x) = 4x³ – 3x2 at a number a? %3D

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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: find the average rate of change of f (x)= 5x3 - 6x2 - 10x+9 on the interval [-4,6]

A: We will use the average rate of change formula  f(b)-f(a)b-a. Here a=-4 and b=6

Q: Find derivative using product or quotient rule

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Q: use the second derivative test to find and characterize all the relative extremes of f(x)=2x4-24x3+4

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Q: use the limit definition of the derivative to show that the derivative of  f(x)=x^2+9x is…

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Q: Use the Product Rule to calculate the derivative. f(x) = x³ (7x² + 1) %3D

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Q: Apply the first derivative test to indentify all relative extrema. f(x) = ¹²-2x+1

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Q: Use derivative rules to find f'(x). 4. f(x) = (2x² - 3)(3x – 1) %3D

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Q: Use the product and/or quotient rule to find the derivative. f(æ) = (3x – 4)(2x – 1) %3D

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Q: find the derivative f(x) = 3sqrtsec-1(x)

A: Consider the given expression:

Q: Find the higher-order derivative    1. f ''(x)=16x^(3)-38x^(2)

A: Derivative

Q: Find derivative of f(x) = x^4-7x^2+8

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Q: find derivative  f(x)= x3/square root of 1+x2

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Q: Use the 2nd derivative to find the inflection point for f(x) = x³ – 6x² – 4x + 3

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