Find (f1) (a). f(x) = tan-(x) 6x2, a = 0 (F-1)'(a) = Additional Materials

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 2. y = 2 Arccos (1-x/2)+ Square root of…

A: Second order derivative.

Q: 3x-4 1. y = Arctan

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Q: Solve using implicit differentiation.  e^3x/ e^2y = sin y

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Q: Find the derivative of k(x) = log3(x) cos

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Q: Find the first and second derivative of any function defined implicitly by yx2+ y2= x

A: Given,           yx2+y2=x

Q: Find the Indicated Derivative for Higher-Order 1. y = 10x5 - 21x4 + 13x3 - 6x2 + 5x - 1000 ; y(6)…

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Q: What is the first derivative of s(x)=(6x)^3x at x=3? Enter an exact answer in terms of a natural…

A: We will take the logarithm with base e and then find the derivative with respect to x and then…

Q: Find the first and second derivative of y = e^−2x(cos3x+sin3x)

A: The first derivative of the given function by using the product rule of the derivative:

Q: Find the second derivative of y=(tan(2πx))^3.

A: giveny=(tan2πx)3 diffrentiate by chain ruley'=3(tan2πx)3-1sec22πx.(2π)y'=6π(tan2πx)2sec22πx

Q: 2х Find the second orfer derivatives of y=Tan" 1-x3

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Q: Compute the higher derivative.

A: Given, d3dx3sin 2x

Q: Find the second derivative of f(x) * f(x) = cos² 7x

A: The given function is: fx=cos27x   As we know that; The Chain Rule: fgx'=f'gx·g'x The Product Rule:…

Q: I need to find the derivative of the function f(x) = cos-1(ln(sin(3x+1))) but I am unsure how to…

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Q: Find the derivative: y = 6 In x 6 ln x-1 x7 1-6 ln x 12 1+6 ln x x12 4 O 1-6 ln x x7 O

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Q: (b) Use implicit differentiation by partial derivative to solve for of function 3x2 + 2xy = -4y3. dx

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Q: Find the first derivative of y = Arc tan √x² −1+ Arc csc x 2 O 2 O 0 2 Ox√²+1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Compute the second derivative with respect to x of 3x3 + 8 y = at x = 1.

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Q: Find the most general anti-derivative of f(x) = 9Vx +1+ cos x.

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Q: Find the derivative of the function f(x) = 5ª+x² + log3 (In x). %3D

A: To find the derivative of the given function.

Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

Q: Find the derivative of the function f(x) = at sin(7x + 14) + In(2r+10)

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Q: what is the derivative of this question with solution y= csc (4x² ) Arccsc (4x² )

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Q: Find the derivative of the function.

A: Consider the given function as y=xtan-12x-14ln1+4x2

Q: 1 14) Use the definition of derivative to find dx 3- х.

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Q: 14. The first derivative of y = arcsin4x is а. -4 b. -4 C. d. V1- 16x? VI- 4x2 V1– 16x? /1– 4x* -

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Q: Compute the derivative: x4 – 4 d - at x = 2 dx x2 – 5 - The derivative is:

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Q: Find the anti-derivative of: f(3x^3+9x)^6 (x^2+1)dx

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Q: Find 1st and 2nd derivative of:   f(x)=(5x^4 + 3x^2)*ln(x^2)

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Q: g(x) = cos ¹x+ 1-x

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Q: Find the first And 2nd derivative  F(x)= e^x sin4x

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Q: 22 Find the 43rd derivative of (1 + x²)“ at x = 0. 0.

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Q: 1- Solve the second derivative forf(x, y,z) = e sinay3) əx2

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Q: Solve using a derivative y= 2x tan (3X+1)}" 3. 2.

A: Consider  y=2x3tan3x+12

Q: Solve for the derivative of y=ln ln [cos2(3x)] With the answer -6 tan tan (3x)  Show solution.

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Q: what is the first derivative of cosx^2(x^2+2)

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Q: What is the derivative of the function  x^8(ln(x)), and what can I substitute for x to make the…

A: We have to find derivative dy/dx and point where dy/dx =0y is given below:

Q: Find the differential for y = tan 2x2

A: Find the differential equation for given equation We need to take derivative for tan using the…

Q: 10. Find the first derivative: f(x) = (x³ + 2x) In x %3D

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Q: 5. Find the derivative of the following. 3x-5 а. у3 b. y = In (sin(3x-5)) c. y= e2x arc tan (2x + 3)…

A: Explanation of the answer is as follows

Q: Find the indicated derivative. dz x2 for z = x2 - dx 1- x - 5x2

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Q: Find the second derivative y=lnx + 3 sin(4x) d²y dx² of

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

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Q: x3+6x-2 dx x4+6x2

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Q: Find the differential of the function y=lntan2x at x=π/8.

A: Given: ,at x=π/8 Differentials are infinitely small quantities. Use the term for differentials as…

Q: Find the nth derivative of the function y=xlnx at x=1.

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Q: Compute the derivative for y= (e^-4x sin^2(x)) / (x^2 + 3x + 1)

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Q: Find the equation of the tangent line to the function f (x) = e*²-1 ln(x + 1) when x= 0.

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Q: Find the first derivative of:   f(x) = ln [(5x+2)1/2 / csc(x)]

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Q: 8) Find the first derivative of f (x) = sin 2 (x3).

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Q: Example 2.35: Using Implicit Differentiation to Find a Second Derivative d'y dx Find if x +y² = 25.

A: Explanation of the answer is as follows