Find  f ′(a)  f(x) = 2x4,    a = −1

Q: Find the second derivative of the function.

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Q: 2) Find the derivative of each function f(x) = Vx + 5x+6 %3D а) b) f (x) = 6x'(5x² +3x)10

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Q: Solve the first and second derivative and eliminate the arbitrary constant.  1. y = C1x + C2e-x +…

A: To eliminate the arbitrary constants.

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: Find the differential of the function y=(3-x8)1/2

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Q: What is the derivative of f(x) = x² +x² a +2 where a is a constant ? xa+2

A: We write f(x) using exponents f(x)=x7+x2+a+2xa+2f(x)=x7+x2+(a+2)x-(a+2)

Q: Find the second derivative of the function.

A: From the given data:

Q: What is the first derivative with respect to x of f(x) = (x² – 4) (3x – 2)? a. (2x)(3) b. 6х (x + 2)…

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Q: Find the second derivative of the function x2y – 2 = 5x + y

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Q: Find the second derivative of the function. f(x) = 5(2 − 7x)ª

A: The given function is fx=52-7x4. Find the second derivative of the given function. Here we use the…

Q: I. Find the second derivative 3. y = (x +8) (6x-1)

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Q: Find the derivative of f(x) = e* (3x' - 4) %3D

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Q: Find the first and the second derivatives of the function. f(x) = (8x + 8)³ f'(x) = f"(x) =| %3D

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Q: Solve for the 2"nd derivative of the function f (x) = 3x5 – 4x3 + 7x² – 10. a. 15x* – 12x2 + 14x b.…

A: Given: fx=3x5-4x3+7x2-10 To Find: 2nd derivative of the given function

Q: 14. What is the first derivative of f (x) = (x²- 4)(3x - 2)? %3D a. 9x2- 4x – 12 С. 6х d. (x + 2)(x…

A: first derivative of f(x) = (x2 -4)(3x-2) f(x) = 3x3 -2x2-12x +8 now df(x)/dx = 9x2 -4x -12 so answer…

Q: Find the first derivative of y = /2x . b. ht a. 2√2x C. 2 2x d. ے اپنا .. √2

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Q: 10. Find the derivative of y = V3x + 2. c) d) 3x a) 2V3x+2

A: Using derivatives

Q: Find the second derivatives:y^n for y=1/8x^4-1/3x^3+3/4x^2-3x+5 And f(x)=2x/5x-2

A: (i): Given : y=18x4-13x3+34x2-3x+5 f(x)=2x5x-2…

Q: Find the second derivative of the function.

A: Given function is  fx=4x32 The derivative used here is  dxndx=nxn-1 The derivative of the first…

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: Find the derivative of h(x) = x 2(9x + 2).

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Q: Find the second derivative. f(x) = 5e−x − 3e−5x f ''(x) =

A: Recall the following facts.

Q: Find the second derivative for the function f (x) = 4e . 1 - 2x3

A: Given: fx=4ex-12x3 for finding second derivative of given, we find first derivative then find…

Q: Find the second derivative of the function.

A: Given: f(x)=x2+3xx-4 To find f''

Q: Find the derivative of the function. y3x°-13x +35x+8 y': = D

A: y = x3 - 13x2+35x+8

Q: Find the derivative of the function f(x) = – 2x1 + 5x – 7. A. -2x + 5 C. -2x? + 5 E. None of these…

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Q: Find the derivative of the function. x3 y -1 -2x3+3x2 y's (x- 1)2 y'= 2x-3x2 (x-1)2 y'= 2x3+ 332 (x-…

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Q: find the homogenous linear equation of the function y = x2 sinx+ e5x

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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 second derivative of the function.       f(x) = x2 + 3x−3

A: Given: fx=x2+3x-3

Q: Find the second derivative of y = Vx² +x-3 O 6/x O 12/x^5 O 6/x^2 O 12/x^3

A: dxndx =n.xn-1 dcdx =0 ; where, 'c' is an constant number.

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

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Q: V/2x+3) (x²+1)" 17. f(x)=-

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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 second derivative of the function f(x) = 1/(11x − 6)

A: Consider the function  f(x)=111x−6

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: -y = a(10z² –8z+7)

A: Using composite derivative formula.

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

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Q: Find the first and second derivatives of the function.

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

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Q: Find the first and second derivative 1. f(x) =x+6x-7x 2. f()=r-7 +2r 3. F(1)=(1+ 7r)

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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: 2 2 X = 1+t2 y=r(1+t?)

A: To find second derivative of given function.

Q: 13: 3. y = V(4x + 3)3

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Q: What is the derivative of f(x)= e2x/ (3x+1)2

A: Given Function,fx = e2x3x+12

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

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Q: Find the first and second derivatives. 2x* +6 y = x2

A: Here we have to find the second derivative of the given function.  The solution is following.