If f(x) is the slope of a trail at a distance of x miles from the start of the trail, what does∫53f(x) dx represent?

Q: Find the derivative of the function  y = ln (8x3-x2)

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Q: Find the derivative of the function.

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Q: Find the second derivative of the function. f(x) = 5x + 26x F"(x) =

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Q: Find the derivative of the function. y = e-4x5 y' =

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Q: How to find the derivative of d/dx [(x^2-6)(2x^2+5x)]

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Q: Find the 3rd derivative of the function y=f(x) given by the equation y2=2x.

A: First we solve the given expression for y

Q: Find the derivative of function. y = ln(x4 + 5x2)3/2

A: This question comes under the concept of Derivation. This question can be solved using the chain…

Q: y = x²e²_2

A: applying chain rule as well where needed to apply

Q: Find the derivative. y= 5x e -x

A: Given :             y = 5x2e-x To Find :                  To find the derivative

Q: Find the second derivative of the function.         f(x) = csc x

A: Differentiating with respect to x, we get

Q: Find the third derivative if the function. 15. f(x)= 1/x

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Q: the first and second derivative of  y=x/x2-4

A: Formula used:  If f(x) and g(x) are two differentiable functions,

Q: Find the second derivative of the function f(x)= x^4 x sec(x)

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Q: Find the second derivative of f(x) = (5+7x)e5". f" (x)

A: Topic :- Differentiation

Q: 5. f(x)=3x*e*

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Q: Find the derivative of the function. h(x) = (4x3 + 2x + 5)/x

A: Given that h(x)=4x3+2x+5x

Q: Find the derivative. y = (ln x)2

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Q: Find the derivative of the function. h(x) = (4/x^2)+(6/x^3)

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Q: Find the derivative 14x y = ln 3x2 + 1

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Q: Find the derivative. y = ln(9x2 − 8)

A: Given The chain rule of derivative is given by

Q: Find the derivative of the function.

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Q: Find the derivative: ln ((x+1)/(2x-1))^(2)

A: First simplify the expression using properties of lograthim than take derivative.

Q: . Y= In (- (x-2)2

A: To solve the second derivative of the function

Q: Find the derivative of the function.

A: Given function is hx=x+5x2+32 We have to find derivative of given function. To find derivative of…

Q: find the derivative of the function.

A: Here given as gx=3x-5 or   gx=3x-5x>535-3xx≤53

Q: Find the derivative of the function f(x)=x-2/2+x square root

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Q: Can you help me step by step with this problem?

A: Let's assume u = 3 + xsecxPlease note that the second term is made up of two functions of x and they…

Q: Find the derivative of the function f(x) = x(4−3x)

A: Given: fx=x4-3x we know that ddxu.v=vdudx+udvdx

Q: find the derivative. y = ln(9x2 − 8)

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Q: find the derivative of y if X(メ+リ(メ-2) (x)くメ+3)

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Q: find the derivative of the function f(x)=6x

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

Q: y = csc 4x

A: Given function is y=csc4x. We know that, ddxfgx=f'gx·g'x And ddxcscx=-cscx cotx Differentiating the…

Q: The 4th derivative of the given function is ソ= 2e2x

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Q: Find the derivative of g(x) = ln(2x + 5)

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Q: Find the derivative of the function. g(x) = 2(3 – 7x) g'(x)=

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Q: Find the derivative of x²e*.

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Q: Find the derivative of the function. h (x) = x (4 + 4x)

A: Given : hx=x4+4x

Q: Find the second derivative of the function. f(x) = (3x° + 6)*

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Q: Find the derivative of the function g(x) = .5 3x + gʻ(x) =|

A: To find the derivative of the given function

Q: Find the derivative of the function. y= 2^(3-x^2)

A: Given function

Q: Find the derivative of the irrational function y=2√x−33√x.

A: Given: y=2x-33x

Q: Find the derivative of the function y=3√x+8x.

A: Given:y=3x+8x

Q: Find the derivative of the function. 5/.3 x° +4x

A: Given that q=x3+4x5To find  the derivative q'

Q: 33. Solve for the second-order derivative of the function below. Y = x 3x3 За

A: Differentiate two times wrt x

Q: Find the derivative of the function   f(x)=ln(x3(2x+1)/x^2−3)

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Q: Find the second derivative y" if y = elnx³

A: Given,            y=elnx3

Q: Find the derivative of the function. g(x) = ∣3x − 5∣

A: We have to find the derivative of the function, g(x) = ∣3x − 5∣

Q: et g(æ) 5x – 4 ='(x) =

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Q: Find the derivative.  y = ln((x + 1)(2x + 9))

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