Find the derivative of the given function 4. g(x) = (4 – 9x²)3 5. h(x) x+5 = x2-9, 6. A(x) = v3x3 + 4x – 1

Q: Find the derivative of the function. A) f(x) = In(x*Vx² - 3)

A: This problem can be solved by using the Chain rule as explained in step 2.

Q: Find the derivative of the function.

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Q: Can you help me step by step with this problem?

A: To find the first derivative of the function given below.

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

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Q: Find the derivative of the following using First Principle. 4) y = -2x2 + 3x – 12 5) f(x) = x2 + 15x…

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Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: Find the derivative of y=-3/(t-2)4

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Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: 1 Find the derivative of f(x) = 2x + 3

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Q: Find the derivative of the given function from the first principle ax2+bx+c

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Q: Find the first derivative of the function g(x) = V5 +x +4cos (2x).

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Find the derivative of f(x)=x^2 e^2.5x

A: Given problem:- Find the derivative of f(x)=x2 e2.5x

Q: 1. Find the derivative of the function f (x) = e2x + 5* + x3

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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: 3 Find the first derivative of f (x) = 3x e

A: Given that : f(x)= x3 / e3x. Find the first derivative of this function. We know that d(xn)/dx =…

Q: 5. Find the derivative of y= x' +2x -1

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

A: given,        fx=1-2x4x+5

Q: Find the derivative of the function: f(x)=ln x^2(x-3)^3÷(x+1)^4

A: To determine the derivative of given function.

Q: Find the derivative of the function.s(x) = e3x − 1/x3 − 1

A: The given function is

Q: Example 2: by using the definition of the derivative, find dy/dx of the function y = 5x + 8x - 3x +4

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Q: .3 Find the derivative of h(x) =In x³ + 2 x5 – et -

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Q: Determine the value of X on which the derivative of the function Y = | 3x² + 4x + 1] does not exist.

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Q: Suppose 8 (x) =Vx+1,What is the correct result of the second derivative of g with respect to x? %3D…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 1 Find the derivative of (Vx-3x) x+= X

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Q: Example 2: by using the definition of the derivative, find dy/dx of the function y 5x' + 8x - 3x +4

A: We can use definition of limit In order to solve the given problem.

Q: 2. Find the derivative of A(x) = L% V1– x³dx

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Q: 1 Find the derivative of f(x) 2x + 3

A: Since we have to find the derivative of f(x)=12x+33, so ddx(f(x))=ddx1(3+2x)3 -(i)By using the chain…

Q: What is the value of y' at x=-4 is ______? Evaluate the derivatives of the given function for the…

A: The function is given by y = 5x2-x+53-3x-x2 To evaluate : The value of y' at x =-4

Q: Find the derivative of the function g(x) = (3x² + 3x)e" = (æ),6

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Q: 2х-3 3. у %3 Зx+4

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Q: 1. Find the derivative of the following f) y = (2x − 1) ( x³ − x) + √x[2(x³ − x) + (2x − 1)(3x² −…

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Q: The 7th derivative of ƒ(x) = 3ñx³ – 12x4 + 7x³ − 11x² + √5 with respect to a is

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Q: Find the derivative of the function. g(x) = In(x – 5.1x=1) g'(x) =

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Q: Find the value of x for which the derivative is zero of Y =x +4x - 3x – 5

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Q: 10) Find the second derivative of f(x) = 3e³x − 8e-6x 5x

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Q: Find the derivative of the function. G(x) = V1 - 9x² arccos(3x) G'(x) -

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Q: Determine the value of X on which the derivative of the function y 3x2 + 4x + 1| does not exist.

A: Giveny=|3x2+4x+1|y=|3x2+3x+x+1|y=|3x(x+1)+x+1|y=|(3x+1)(x+1)|Using modulus propertyy=|3x+1||x+1|

Q: Find the derivative of the function. 9x + 1 h(x) = In 4х - 2. h'(x) =

A: Solution: The objective is to find the derivative of the given function

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

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Q: Find the derivative of y = (5x − 2)/(x2 + 1)

A: Given:           y=(5x−2)(x2+1)

Q: Find the first derivative of g(x) if g(x) = e²* In(2x) %3D

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Q: Find derivatives of the following functions: y = (4x + 3)/ln[2x2 + 3x - 5] y = 3( e2x + e-2x )(x2 -…

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Q: (2x-6) ¹² 3. h(x)= (3 + نمو)

A: The objective of the question is evaluate the derivative of the given function.

Q: Find the derivative of f(x)= 11x^2 at x=1

A: Given:    f(x) = 11 x2  at x = 1

Q: Find the first derivative given that f(x) 5x V2r+3

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Q: - Find the derivative of the function : ƒ(x)= V2x + 3

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Q: 8. Find the derivative of the function f(x) = x ² - 10x + 3 using First Principles.

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Q: 2-х Find the derivative of y = Зx+1 -7 бх-5 6- А. (3х+1)2 В. (3x+1)2 7-6х С. (3x+1)2 D. (3x+1)2 Е.…

A: Proceed as shown below

Q: 1. Find the first derivative of the following. а. у%33x y = 3x² + 6 y = 2-1

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Q: Find the derivative of the function g(x) 4+ 2x = (x),6

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