Determine f, (x); f (x) = In(x² + x)

Q: Find the derivative of f(x) = x²(x² + V¤)

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Q: Find the derivative of the function. A) f(x) = In(x*Vx² - 3)

A: This problem can be solved by using the Chain rule as explained in step 2.

Q: Find the derivative of the function. f(x) = In(x + V7 + x²) f '(x) =

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Q: Find the derivative of the function. F(x) = (3x6 + 4x3y4 F'(x)

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the derivative of f(x) = x2√(1 − x2)

A: Given:

Q: Find the derivative of f(x) = (x-2x)2 A) f'(x) = 6x5 - 12x3+ 8x B) f'(x) = 6x5- 16x3 + 8x %3D C)…

A: Here we find the derivatives of function.

Q: find the derivative of f(x) = x2 – 3x + 4, and then 3) evaluate f '(2)

A: Given : f(x) = x² - 3x + 4

Q: Find the derivative of the function. g (x) = 6x-3 + 2x Og (x) = 18x + 10x-6 %3D Og (x) = -18x-3…

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Q: Find the first, second, and third derivatives of f(x) = x^4 − 2x^3 + 2x^2 − x + 8.

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Q: Use the chain rule to find the derivative of f(x)=5e^(3x^9−6x^10) f'(x)=____

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Q: F(x) = x+1/7x^2+8x+7

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Q: Use the Chain Rule to find the derivative. f(x) = (x5 – x3 – 1)2/5 %3D

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Q: Find the derivative of the algebraic function.

A: The given function is fx=x41-2x+1.

Q: Find the derivative of the function. f(x) = V3x + 2

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Q: Find the derivative of the function.

A: Given function is Differentiating both sides with respect to x, by using product rule of…

Q: Use the chain rule to find the derivative of f(x)=3e^−4x^9+3x^3   f'(x)=

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Q: F(x) = (x^3 - 8)(4x^2+2x)

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Q: Let f(x) = }x² – x³. Find the value(s) of x if the second derivative f" (x) equals zero.

A: Use the formula, ddx(xn)=nxn-1 to calculate the derivative. Differentiate f(x) with respect to x to…

Q: Find the derivative of the function. f(x) = 5x2 + 4x + 5 O 5x + 4 O 10x2 + 4x O 10x O 10x + 4

A: Given f(x)= 5x^2+4x+5

Q: find the derivative of f(x)= 2x^3 + 4e^3

A: Given information:The given function is

Q: f(x) = (x + 2)(2x² – 3) %3D

A:

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

A: Given,          fx=x3-3x2+4x2

Q: The derivative of is f (x) = 3x* + 7x² + 5x + 2 %3D

A: Given, f(x) = 3x4 +7x2 +5x +2

Q: Find the first and second derivatives of the function. f(x) = 11x1 + 6x - x %3D f"(x) = f"(x) =

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Q: Find the derivative of f (x) = (x° – 4x (2² + - 8z – 2). %3D f' (z) =

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

Q: Find the derivative for f (x) = V4 + e2x a. e2x /4+ e2x b. 1 2v2e2x xe2x-1 /4+ e2x C.

A: To find the derivative of fx=4+e2x.

Q: Find the derivative of the given function. f(x) = (2 - 5x³)-2 1 f'(x) (2– 5x)-2 5x* 3

A: We have to find derivative

Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

Q: f(x)=5e^−2x^3+8x^8 f'(x)=

A:

Q: Find the derivative of the algebraic function. f(x) = (x3 − x)(x2 + 2)(x2 + x − 1)

A: Given information: fx=x3-xx2+2x2+x-1

Q: Use the chain rule to find the derivative of f(x) = 2e5a* + 9x³ %3D f' (x) =

A: We have to find

Q: Find the derivative of the function. f(x) = (x² + 8) In(x) f'(x) =

A: In this question we need to find a derivative of the given function

Q: f(x) = (x2 + x) (x* - 6x)3 %3D

A:

Q: Find the derivative of the algebraic function. f(x) = (4 − 3x − x2)/(x2 − 1)

A: We have to find the derivative of the algebraic function: fx=4-3x-x2x2-1 Rewriting the function,…

Q: Find the derivative of f(x) = x ^2at x = 3.

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Q: Find the first and second derivatives of the function. f(x) =x4 -3x3 +16x

A: To find the first and second derivatives of the function. fx=x4-3x3+16x

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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Q: Find the derivative of the function f(x) = 8x² – 14x by the definition of derivatives f(x+h)-f(x)…

A: Given function: fx=8x2-14x

Q: Find the derivative of f(x) = e³z (5x² + x) %3D

A: Differentiation

Q: Find the first and second derivatives of f(x). f(x) = – 3x³ – 7x + 2 f' (x) = f''(x) =

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Q: Find the derivative of the function. f(x) = x3 − 2x + 3x−3

A: Consider the following function: fx=x3-2x+3x-3=x3+x-3 Differentiate fx with respect to x:…

Q: Find the first and second derivatives of the given function. f(x) = 5x3 − 6x2 + 6

A: The given function is f(x) = 5x3 − 6x2 + 6. The derivative of xn is given by: ddxxn=nxn-1 and…

Q: Find the first and second derivatives of the function. f(x) = x2/ 1+6x

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Q: Find the derivative of f(x) f(x)= (2x+1)^3(x^2+x)^2

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Q: Find the derivative of f(x) = e2" (3x² – x) %3D

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Q: x² +5x +6 f(x) = x² - 4

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Q: • 5x²+1 (t²-t) dx F(x) =

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Q: Find the derivative of the function. g (x) = 4x(3x + 2)’ %3D

A: The given function is gx=4x3x+25

Q: Find f'(x) (the derivative of f(x)) if f(x) = 7x'3 - 2x'2 + 4x - %3D 5. O 21x^2 - 4x + 4 + C O 21x^2…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.