7x2 + 5x + 3 y = = 7x3/2 + 5x/2 + 3x-1/2, Now, since the function is a sum of power functions, we can use the Power Rule to find its derivative. Recall that according to the Power Rule, the derivative of x", where n is any real number, is nx". To use the Power Rule, we'll have to calculate the following. - 1 = |1/2 - 1 = -1/2 -1 = 3/2 Applying the Power Rule we have x1/2 + /2 + -3/2 y' = 1/2

Q: f(x) = 4x5 (12x² + 15x + 3)

A:

Q: How do I find the derivative of this problem?

A:

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A:

Q: What is the derivative of the following? 1. 3x^2 2. -1/2x^2

A: Topic = Derivative

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A: find differentiation:-

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Q: 5. Find the derivative of ƒ(x) = 3x² + 7x + 4 using the difference quotient, then compute f'(2).

A:

Q: Find the derivative of the function. f(x) = square root of 7x+1

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

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Q: What is the first derivative of q(x) = In (4x² + 3x + 2)?

A:

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Q: Find the derivative of h(x)=(−2x+4)7/(3x−5)5   You should leave your answer in factored form. Do not…

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Q: Find the derivative of f(x) = - 2 * root(4, x ^ 5) + 7/(x ^ 6)

A:

Q: Find the derivative of the function

A: Given function:

Q: Find the derivative of the function. Express the answer using positive exponents only. y = (x −…

A:

Q: Find the derivative of h(x)=(3x+4)3 / (−3x−2)4 You should leave your answer in factored form. Do not…

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A: Explanation of the answer is as follows

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Q: Find the derivative of the function f(x)=2x−73x−2 at x=2

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A:

Q: What rule should be used in getting the derivative of y=(1−x^2 )^6

A: What rule should be used in getting the derivative of y=(1−x^2 )^6

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A:

Q: Find the 4th derivative of x^10 evaluated at x=0. What would be the 100th derivative of x^2000 be at…

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Q: 1. f(x) = 4x - 17

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Q: If q(x)=4e^x+9, determine the anti derivative of q(x). Do not include the constant C in answer)

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Q: Find the derivative of h(x)=1/(−3x^2+3x−2)^3. may leave answer in factored form.

A:

Q: 2х-3 3. у %3 Зx+4

A:

Q: 1) Use the definition of the derivative to calculate the derivative off(x) = 3x2-5x+ 1

A: Find the derivative of f (x) = 3x2 –5x +1.

Q: Determine the value of X on which the derivative of the function y 3x2 + 4x + 1| does not exist.

A: Giveny=|3x2+4x+1|y=|3x2+3x+x+1|y=|3x(x+1)+x+1|y=|(3x+1)(x+1)|Using modulus propertyy=|3x+1||x+1|

Q: If fox) is odd function , then the derivative of y =coshf(-x)) equals

A: here option B is true

Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

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A:

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A:

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A: According to the problem we have

Q: Evaluate the second derivative of the function at the given point f(x)=9/√x+9    (0,3)

A:

Q: 27. Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

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Q: What is the derivative for: X^3/(1-x^4)

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Q: Find the requested value of the second derivative of the function. f(x)=4x4-8x2+5; find f"(0)

A: The given function is Now, taking first derivative of the given function