Calculate the derivative of the function below using the quotient rule. 9x y = 5x + 8 f(x) = and g(x) = which means that f'(x) = and g(x) = And thus 9x 5x + 8

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Q: Find the derivative of f(x) = (3x – 2x?)’using the chain rule %3D

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

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

A: To find the first derivative of the function given below.

Q: Find the derivative of the function using Chain Rule. h(x) = (2x-6)-¹ (x²+3)

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Q: Calculate the derivative of f(x)=4x³ with respect to x and evaluate this derivative at x=2.

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Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: By using the First Principle, find the derivative of the following function at x = 2. 4x + 3 f(x) =…

A: We have to find the derivative of f(x)=4x+3x+1 at x=2 by using the First Principle.

Q: Find the derivative of y=3x^x

A: Given,

Q: find the derivative of y = x3/x

A: Given y=x3x

Q: Find the derivative of the function .

A: Given: f(x) = x -6x3 To find: The derivative of the given function.

Q: Find the derivative of y = x2-1/2cosx

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Q: Find the derivative of y=ln[x^3(x^2-5)^3/4]

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Q: Calculate the derivative of the function below using the quotient rule. 2x ม 5x + 3 f(x) = and g(x)=…

A: Quotient Rule : If  y = f(x)g(x)  then  y' = g(x)·f'(x)-f(x)·g'(x)g(x)2.

Q: Find the derivative of the function x +5 g(x) = 2, X +6x

A: Given function is, g(x)=x2+5x2+6x  Quotient rule of derivatives is, If f(x) and k(x) are functions…

Q: Find the derivative of the function. y In x2+9

A: Given function is: According to chain rule of derivatives:According to the quotient rule:

Q: Find the derivative of the function y=x2+3x+1x without using the quotient rule for the derivative.

A: Given: y=x2+3x+x we know that ddxxn=nxn-1

Q: Find the derivative of the function using Chain Rule. (2x-6)-¹ (x²+3) h(x)=

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Q: Find the derivative of f (x) = 1x , x = 0.

A: Given: f(x)=x at x=0

Q: 5. Find the derivative of y= x' +2x -1

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Q: Find the derivative.

A: Differentiate above equation with respect to x dydx=ddx{ln(x+1x3+1)}dydx=1(x+1x3+1)ddx(x+1x3+1)…

Q: Calculate the derivative of the function below using the quotient rule. x4 y = Vx + 2x4 f(x) = and…

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Q: Find the relative extrema of the function f(x)= x2+3x+4 using first derivative test.

A: fx=x2+3x+4 To find extrema of function.

Q: Find the derivative of the function g(x)=x3∫x2tdt.

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Q: Find the derivative of the function and then evaluate at the given point. y 3x2-4x; 1,7)

A: To determine the derivative of given function and then evaluate at the point (-1, 7).

Q: Find the derivative of the function f(x)= xsinx+x^2e^2-1.

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Q: Find the derivative of the function and evaluate the derivative at the given x-value. f(x) = 5x +x…

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Q: Find the derivative of the function. y = x2 In x2

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Q: 1 Find the derivative of (Vx-3x) x+= X

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Q: Find the derivative of y = ( 1+x2 )x

A: using logarithmic differentiation and product rule

Q: Find the derivative of the function g(x) = (3x² + 3x)e" = (æ),6

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Q: Find the derivative of y = xArcsinx + V1 – x².

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Q: Find the anti-derivative of  s(x)=−7x2.  (Do not include the constant C in your answer.)

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Q: Find the derivative of y=x^3lnx

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Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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Q: Find the derivative of the function. y = x2V 49 - x2 y' =

A: Soove for differentiate

Q: Find the derivative of -3x f(x) = e¯* + e2x - e %3D

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Q: Find the derivative of the function using implicit differentiation.  1.) x³-3x²y+2xy²=12 2.) x²-y²…

A: This question is related to implicit differentiation, We will solve it using given information.

Q: Find the derivative of the function.

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

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Q: Find the derivative of the function: f(x)=ln  (x-3)^2÷(2x-1)^3

A: Given function is,

Q: Calculate the derivative of the function below using the quotient rule. y = 210 √x + 5x8 f(x) = and…

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Q: Find the derivative of f(x) = In2x 2 2z

A: We first use the addition property of logarithm.

Q: Find the derivative of (x+5) / (x2-1) with respect to x.

A: Here we have to use formula of derivative  dxndx=nxn-1

Q: Find the derivative of the function g(x) 4+ 2x = (x),6

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