If f(x) = ax? + b,f(-3) = 2 and f'(-3) = 10, find the coefficients a and b.

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

A: Given f (x)  = x2+3xx-4we have to find second derivativerule used :-Outient rule :- if there is a…

Q: Find the first and second derivative if 1 w = 3z-2 ミ

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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: Find the 3rd derivative of the function y=f(x) given by the equation x2−y2=9.

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Q: 9x3 + 7x + 1 y = 2х — 1

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Q: solve the first and second derivative of Y=x2e-x

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

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Q: What is the derivative of y= 5x² + 10x+5x-3, A None of the given choices (B В 10x + 10 – 15x-4 © 5x…

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Q: Find the second derivative of the functionf(x) 3Vx+2 2x+1

A: Given

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

A: Find the second derivative of the function

Q: Find the first Derivative complete solution. r= (3cot42θ-4)2/3

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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: Find the second derivative. f(x) = 7e¯x – 6e-7x | f"(x) :

A: First derivative is f'(x)=7e-x(-1)-6e-7x(-7)=-7e-x+42e-7x

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Our Aim is to find the second derivative of…

Q: 1.) y = (3x² – 1 ) (4x +7 )

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Q: What is the first derivative of q(x) = In (4x² + 3x + 2)?

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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: The derivative of x- 1 is -2 1 + A -2 1 B -2 1 C -2 +1+ D -2 1 + E

A: Let's find.

Q: Find the first and second derivatives. 5. 6x y= – 7x + 8 eX

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the First derivative: Complete Solution for this:  1.) r= (3cot42θ-4)2/3

A:

Q: Find the derivative of: 9x + 4x – 2 23 d 2 + 4x 2 dx - - 2)

A: NOTE: Refresh your page if you can't see any equations. .

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

A: Given information:The given function is

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

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Q: Find the first and second derivative of the given 2x2+9x+8

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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= x 2/ 3 + x2

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Q: 3. x² + 5x + C .2

A: Derivative of xn is ddxxn=nxn-1.

Q: Find the second derivative of f (x) = 3e5x− 8e-6x

A: Given ,  f (x) = 3e5x-8e-6x we have to find the second derivative of the given function.

Q: The higher derivative of y = 5x³ – 2x is O 15x2 – 2 О 30 O 30x

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Q: V/2x+3) (x²+1)" 17. f(x)=-

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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: Computate the derivative Y= 9X V1-9x

A:

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

A: Consider the function  f(x)=111x−6

Q: find the derivative af: 5y 2.5x/2 1) =xe ye

A:

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

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Q: Find the 3rd derivative of the function y=f(x) given by the equation x2−y2=9. Solution.

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Q: solve the first and second derivative of Y= (x2-4)2 / x-4

A: Given function Use quotient rule to find the first derivative

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: Your equation is x^4-2x^2+1 with the first derivative as 4x^3-4x and the second derivative as…

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Q: The first derivative of f(x)=e5x^4-6x will be?

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Q: Find, the derivative of y= 5x e" + 6x3 y':

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Q: Find the second derivative of f(x) = 3e³* – 8e** -6.x 10)

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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.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.