Exercise, find the higher-order derivative. Given Derivative S(x) = 3x + 7x + 1 %3D

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: Find the derivative of the function. y = x?e* - 2xe* + 9e* y' =

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Q: Exercise, find the higher-order derivative. Given Derivative S(x) = 3x2 + 7x + 1 %3D

A: First differentiating with respect to x to get f'(x) then again differentiating with respect to x to…

Q: Use the Chain Rule to find the derivative.

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Q: Find the first and second derivatives of the functions in Exercises

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Q: Practice B Find the derivative of the following functions. 1. y = (6x? + 7x)4 2. g(t) = (4t² – 3t +…

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Q: Using the definition, find the derivative of the simplest quadratic function y=x2.

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Q: Calculate the implicit second derivative of b(z)=(x-5)^2 find the value of b''(-1

A: find the second derivative of the given function

Q: Find the derivative of the function below using the definition of the derivative. f(x) = 2³ + 2

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Q: g(x) = 2x √1+3x

A: SOLUTION-

Q: Use the Chain Rule to find the derivative of the function. y = (2x? - 9)

A: Answer and explanation is given below...

Q: Find the derivative of the function. y = x2ex − 2xex + 4ex

A: Given function is Differentiating both sides with respect to x, we get

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

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Q: Exercise, find the higher-order derivative. Given Derivative s(x) = 3x2 + 7x + 1 %3D

A: Introduction :

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

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Q: use the Chain Rule to find the derivative. y = e2x2

A: To find the derivative of y=e2x2 using chain rule. Solution: Chain rule of differentiation states…

Q: A1) Using the definition of derivative, find the derivative of f (x) = x2 + 3x +:

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Q: Vhat is the second derivative of f(x) = x'e? II

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Determine the first derivative of the ff. function x? + 1) y = V1 + In x

A: y=x2+11+lnx

Q: Use the first derivative test and the second derivative test to determine where each function is…

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Q: t2 5. x= t-1 y = 12-1

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Q: 3x Calculate up to 2nd derivative the equation g(x) = -8sin (+

A: Given: A function gx=-8sin3x2+1. The first derivative of g(x) is: gx=-8…

Q: Find the derivative of the function. y = x?/49 – x2 49 – x² y' =

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

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Find the derivative of the function. s(x) = (x? - 1 s'(x) =

A: Given: s(x)=xx2−1x

Q: Find the derivative of the function. y = x2e−8x

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Q: f (x)=vx+2, a=6 it

A: Given function is  fx=x+27

Q: Using the definition of the slope of a tangent line, find the derivative of each function. 1. f(x) =…

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Q: 음고+ 음 + 2V- e The first derivative of y = 3x5 is %3D

A: Recall: dxndx=nxn-1 dc1f(x)±c2g(x)dx=c1df(x)dx±c2d[g(x)]dx ; where c1 and c2 are constants.…

Q: Caloulate the derivative of the following function. y= sec (9x-5)

A: we simply apply differentiation property and get the required answer

Q: t(x)=23x3−10x2+42x+9 Given the function above, use the First Derivative Test to find the local…

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Q: Fill in the blank. (a) d (In]x|) dx (b) The derivative of In|x| is

A: We need to find derivative.

Q: 3. 6. t ca)

A: The chain rule of differentiation is to be used to find the derivative of f(x)=(x3+x-1)3. The chain…

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

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Q: SK A. ACTIVITY: Solve for the derivative of the following, show your solution 1. f(x) = 2x3- 7x + 1…

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Q: Find the derivative of the function. 5x -7 y = 2x+1 The derivative is y' =|

A: Consider the function; y=5x-72x+1

Q: Find the derivative of the function. Vi+3 y'(x) = Need Help? Read It

A: Given find derivative of y=4xx2+3

Q: Q2/ Find the derivative of the function (x) =Vx? - 3 by definition

A: Use the definition of the first principal:   ddxfx=limh→0fx+h-fxh So, ddxx2-3=limh→0x+h2-3-x2-3h

Q: how do i find the derivative of the function ?

A: Given function is,

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: p>Find the second derivative of f (x) = x*e".

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Q: A1) Using the definition of derivative, find the de

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Q: h(x)=83x3+32x2+120x+9 Given the function above, use the First Derivative Test to find the local…

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Q: Use the definition of derivatives using this formula f(x + h) – f(x) 2х - 3. 2. Find the derivative…

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Q: Using the definition of derivative, find the derivative of the following functions: (a) y=F-2 (b) y=…

A: d(xn)dx=nxn-1 is basic formula