Let ​f(x)=4x−​1, ​h(x)=−x−4.   Find ​(f◦​h)(4​)=

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x3 +…

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Q: obtain the second derivative of the function: y=2-5x^4+3/2x^2

A: Please refer the attached image for complete solution.

Q: Differentiate. h(x) = In(xe-2*)

A: First simplify the given function using properties of lograthim than simply take the derivative.

Q: Use the Chain Rule to find the derivative.

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Q: Find the second derivative of  x2y-4x=5

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Q: Find the derivative: -3xy + 2 = 5x³

A: Find dydx Given -3xy+2=5x3

Q: Find the 2nd derivative x2+3/5

A: To find the 2nd derivative of x2+35. Solution: Let the given function be y=x2+35. Given function can…

Q: Find the second derivative of x3 – 5x2 + x = 0. Зx2 -10х Зх + 10 WXWX XWXW 10х - 5 бх - 10 XXXX wwww

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Q: Find the second derivative of h(x) = x2 + 3x3. Simplify your answer, %3D

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Q: Find the fifth derivative of the function y=(x3+2x2+3x)ex.

A: We use the product rule to find the derivatives

Q: 4-y2 dx

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

A: The given function is ;  y=x2+9x-2  ...........................(1) differentiate with respect to x

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM y= e3x-e-3x/e3x+e-3x

A: Second derivative of a function.

Q: Find y" by implicit differentiation 2x2y2=

A: Find y’’ by implicit function2x2+y2=6      ………(i)

Q: Find the 1st and 2nd derivative of : c1e^2x + c2xe^2x

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Q: Find the 3rd derivative of the functions: y = 12(5x2 –1)(x2 –1)

A: Find the 3rd derivative of the functions: Given y=12(5x2-1)(x2-1) To find dydx, d2ydx2, d3ydx3

Q: (x) = ,2x+1

A: Explanation and solutions is given below....

Q: 19-x² dx 2

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Q: Find the second derivative of the function h. h(x) = (10 – x2) (5x + 17)

A: Here, h(x)=(10-x2)(5x+17)

Q: Find the first derivative of y = (e³x)(3x² – 7)

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

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: Find the first and second derivative  x3+x2+5x

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Q: 1x x2 SI x +1)dzdydx 00-y2

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Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

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Q: 1 y = 8x* + 7x³ + =x² – 14x + 6 %3D -

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Q: Find the second derivative of y² + 2x³ = 1 – 4y

A: The given equation is y2+2x3=1-4y Rewrite as  y2+2x3+4y=1 differentiate…

Q: Find The First Derivative  y = (x2 +5x)3

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Q: 3.) y = e2x-3 3.) у 3

A: The derivative of some general functions are, ddx(ef(x))=ef(x).ddx(f(x)) Product rule of derivative…

Q: Find the first, second and third derivative of f(x) = 5x7 – 2x* + 3x² + Vx.

A: Given function is fx=5x7-2x4+3x2+x

Q: -.f x³ ex² dx 3

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Q: Find the first and second derivative of the function. x3 + 5x? – 4Vx F(x) :

A: General rule of differentiation is  ddxxn=nxn-1

Q: Find the second derivative of the function. In(x) f(x) = + 6x? -4x° – 18xln(x) + 3-6 ln(x) + 12…

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Q: Find the inverse of y = ln(x2 - 2) for x > ,/2.

A: Given function is y=lnx2-2. To find the inverse  of function. Replace both x and y with each other.…

Q: Find the 3rd derivative of y=(x³-2x)².

A: y=x3-2x2 Differentiating with respect to x, we get dydx=2x3-2x·dx3-2xdx=2x3-2x·3x2-2 Again…

Q: What is the second derivative of In(x4– 1)? - 16x9+ 12x6– 12x² (A) (x4– 1) 2 4x3 In (B) - 4x6– 12x2…

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Q: Find the second derivative of y² + 2x³ =1– 4y

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Q: Evaluate the first derivative of the implicit function: 4x2 + 2xy + y2 = 0

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Q: Find the derivative. y = e2= . 8x3 24x?e2 + 16x4e2« – 1 O 2e2a . 24x? 24x e2 + 16x³e2* O 2xe2a…

A: We will find the derivative using Chain rule.

Q: x4 + Vtan y = x ln y

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Q: Find y" by implicit differentiation. 5x³ + 2y3 = 7 y":

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Q: Find the second derivative of the function.   f(x) = x2 + 7x − 4

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Q: What is the first derivative of p(æ) = In (4x3 + x² +1)?

A: Given function is p(x)=ln4x3+x2+1

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

A: Differentiation

Q: Find the second derivative of the function. h(x) = 6x−2 + 7x2

A: Given function is hx=6x-2+7x2   Differentiate the function with respect to x.…

Q: The derivative of f(x) = x4 + 4e2x is-

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Q: Differentiate the function ln(x2+y2)+2arctan y/x=0 implicitly.

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Q: 2. Find the derivative of f (x) = (3x – 2x? )(5 + 4x) using the product rule

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

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Q: Find the First and second derivative of the given y=-x2+3

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