Find the derivative of the function. (Simplify your answer completely.) 4 h(x) = 2x2 + = (x), 4

Q: 4x3 - 7x +8 Find the derivative of h (x)

A: (a) Given- hx=4x3-7x+8x To find- The derivative of the above function. Identity Used- Using the…

Q: What is the derivative of the given equation below? (3 + x)² (x + 1)3

A: Consider the expression 3+x2x+13 In order to find the derivative of the expression, use below rules…

Q: 3-2x2 Find the derivative of y =- and simplify your answer. 5x +2

A: Given: y=3-2x25x2+2  To find: Derivative of the given function.

Q: Find the derivative of f(x) = -7x+3. f'(x) = (Simplify your answer.)

A: The derivative of xn is:                               The derivative of a constant is 0.

Q: Find the derivative of the algebraic function.

A: To Find the derivative of the algebraic function. f(x)=x2+5x+6x2-4

Q: Find the derivative of the function. y = 3x3 − x2 + 4x − 5

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Q: Find the derivative of the function. y = x3x + 2

A: FORMULA Generalized power rule Product rule

Q: 2x (a) By using the derivatives from first principles, find the derivatives of y = Do not simplify…

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Q: Find the derivative of the function y=3√7x+7√3.

A: To determine: The derivative of the given function.                         Differentiate with…

Q: Find the derivative of the function. y = x2(2x2 − 3x)

A: The given function is,

Q: What is the derivative of y = (-3x²-x+4)e5 ANSE

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Q: Find the derivative of h(x)= (-2x-3)7/ (4x+2)4 You should leave your answer in factored form.

A: To differentiate the given rational function (quotient) in the required (factored) form

Q: Find the derivative of the function. 8x-9 5x +6 The derivative is y=||

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Q: Find the derivative of the function. q=5√x³+3x q' =

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Q: Find the derivative of the function. g(x)=4x(3x+2)^5

A: Given:  g(x)=4x(3x+2)^5

Q: A1) Using the definition of derivative, find the derivative of f(x) = x² + 6x + 6. [ 1

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Q: Find the derivative of ?(?) =(3x4 )/8 Simplify your answer, if possible

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Q: Find the derivative of the function. 4x - 3 y = 9x + 8 The derivative is y' =|

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Q: Find the derivative of the function. y = (2x − 7)3

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Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3)  when the…

A: For a function f(x) its derivative is defined as f'(x)=limh→0f(x+h)-f(x)h. Use the expansion…

Q: Find the derivative of * r= 2t fr - 3F +6

A: Using rules & formulas of derivatives.

Q: Find the second derivative of the function. y (3x + 7)3 y" =

A: Given  y = (3x+7)3   .......... (1)

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Consider the provided function, fx=4x+13x-6 Find the second derivative of the function and then find…

Q: A) Find the first and second derivatives of the function g(x) = Vx² + 2x .

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

Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3)  when the…

A: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3)  when the…

Q: 3x 4 e Find the derivative of the function y = - 5x +3

A: The given function is 4e3x5x+3 to find the derivative of the function of the form uv use the formula…

Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3)  when the…

A: Given: fx=2x3+5 To Find: To find f'x and then to find f'-2, f'0 and f'3.

Q: Find the derivative of the function. 7x-5 6x+ 1 The derivative is y'= .

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Q: Q2/ Find the derivative of the function f(x) V4-x2 by definition

A: The derivative of a function f(x) with respect to x is given by limh→0fx+h-fxh. The given function…

Q: e3x-e-3x y - 23x+e-3X %3D

A: d2dx2e3x-e-3xe3x+e-3x=ddx12e3x+e-3x2=-243e3x-3e-3xe3x+e-3x3

Q: Find the derivative of the function. x²- f(x) x? 4x + 7 .2.

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Q: Find the value of x for which the derivative is zero. y=x3+4x2-3x-5

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Q: 3. What is the FIRST derivative of the given function? y = 3x³ - 2x² + x - √√2

A: Given,            y=3x3-2x2+x-2To find : What is the first derivative of the given function.

Q: 3x² + 2x–1 Write the equation of the tangent line to f(x)= when x = - 1. x' - 4x+1

A: To find the equation of tangent line to the given curve at a given point, Obtain the expression for…

Q: 2. (- 2x Find the derivative of h(x) %3D 2x + 3

A: We have to find the derivative of the function: hx=-2x2x+32 We know that square of any negative…

Q: What is the derivative of y = √/x? 1x² X 2 2 1 X X 2 23

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Q: Зx? — 2 =(x)F 2х +3 g(X

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Q: Obtain the derivative of the function f(2)% 3 -3a° – a* + 4x. Enter your answer as a function of a :

A: Given that f(x) = -3x2 - x4 + 4x  Find derivative of this function f(x). We know that derivative of…

Q: Find the derivative of the function. t(x) =  x2 − 8x3

A: Find out the function in t(x)

Q: Find the derivative of the function. q= 5 3 x + 6x

A: The given function q=x3+6x5

Q: f(x) = 2x² + 7x – 6. Find the first derivative of f(x) using the definition.

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Q: Find the derivative of the function. y = (3x + 4)(x3 − 6x2)

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Q: х3 — f(x) = 2x2 + 2 x²

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Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Find the Derivative of the Function: 2x2 3 | f (x) 5x? 6

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Q: Using the mathematical definition of derivative, find the derivative of the following functions.…

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Q: Find the derivative of the function. y = x?/25 - x2

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Q: 4. Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Differentiate with respect to x