Find the third derivative of the following function: f (x) = 10x³ (x + 20) 240x + 1200 dæ3 240x + 1200x² d f da3 240x2 + 1200 d³ f 240x? + 1200x da3

Q: 4) f(x) e**+6x

A: If F(x) = f(g(x)) , then F'(x)= f'(g(x)).g'(x). dexdx=ex dxndx=n.xn-1. Quotient Rule of…

Q: Find the derivative of the function. f(x) = 4e* – x2 f'(x) =

A: Simply use the power law of derivative and also derivative of exponential .

Q: 9. f(x) = /5x + 1 %3D

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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: Find the derivative of the function. f(x) = V 5x + 4

A: Question number 1,Given,          fx=5x+4

Q: Find the derivative of the following function. + 2x +x -5 -- 2 8 y 3x y' =D

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Q: Find the derivative of the function. F(x) = (3x6 + 4x3y4 F'(x)

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the derivative of the function. f(x) = V9 - 3x2 %D f'(x) %3D

A: The given function is f(x)=9-3x2

Q: Find the derivative of the function. F(x) = /1 – 2x

A: Given, Fx=1-2x

Q: Find the derivative of the function .

A: Given: f(x) = x -6x3 To find: The derivative of the given function.

Q: Calculate the derivative of the function. f(x) = (9x – 1)2 f'(x) =

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Q: Find the second derivative of the function.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 4 f(x) = Vx*+2 %3D x*-2

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Q: find the derivative of f(x) = x2 – 3x + 4, and then 3) evaluate f '(2)

A: Given : f(x) = x² - 3x + 4

Q: Find the given higher-order derivative. F(3)(x) = Vx², f(4)(x) f(4)(x) =

A: Given that, the higher order derivative f(3)(x) = x23 To find the higher order derivative of f(4)(x)…

Q: Find the derivative of the function f(x) = 3– + x² + 14. f'(x) =

A: Consider the function  f(x)=31x3+x2+14

Q: Find the second derivative of the function y=x√1−x2.

A:

Q: Find the derivative of the function. f(x) = 1/(5x + 1)2

A: We have to differentiate the given function: fx=15x+12 We know that formula for differentiation:…

Q: Find the derivative of the function. f(x) = V5x + 4 f'(x) =

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Q: Find the derivative of f (x) = 1x , x = 0.

A: Given: f(x)=x at x=0

Q: 3) Find the derivative of f (x) = Vx3 – 4x² dv

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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 given higher-order derivative.       f′(x) = x3 − x2/5,  f (3) (x)

A: we have been given: f'(x)=x3-x25 we have to find f(3)(x). that is we have to find the third order…

Q: Find the third derivative of the function f(x) = (1) / (2x-1)

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Q: Find the derivative of the function. f(x) = V3x + 2

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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 first derivative of the following functions and simplify your answer. y=* 5x-2 y=(2x2 –…

A: Solution: The objective is to find the derivatives of the given functions

Q: Find the second derivative of the function.

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

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

A: Consider the provided function, fx=4x+13x-6 Find the second derivative of the function and then find…

Q: Find the derivative of the function 1 f(x) x1/8 f '(x)

A: Given:

Q: Calculate the derivative of the function. 1 h(x) = (3.1x - 4)2 (3.1x – 4)2 = (x),4 Need Help? Read…

A: It is required to find the derivative of the given function h(x)

Q: Find the first derivative of the function * 4 f (x) = Væ + 4

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Q: Find the given higher-order derivative. f(3)(x) = /x5, f(4)(x) f (4)(x) =

A: Given,f3(x) =x56d3f(x)dx3= x56 = z(say)We have to finddzdx= d(d3f(x)dx3)dx = d4f(x)dx4 = f4(x)

Q: find the derivative of the function h(x)=x(7+7x)

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Q: Find the derivative of the function.    y = x/√(x4 + 4)

A: The given function is , y=xx4+4 To find the derivative for the given function. Solution: The given…

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: Evaluate the second derivative of the function below at (1, -2). y² = x³ = x + 1 -

A: To evaluate the second derivative of the function at the given point.

Q: Calculate the derivative   f(x)=e^(6x^2) / e^x+e^(2x)

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Q: Find the derivative of the function f (x) = Vx /x – 6.

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Q: Find the derivative of f(x) = x ^2at x = 3.

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Q: Find the given higher-order derivative. F(3)(x) = Vx5, f(4)(x) f(4)(x) =|

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Q: Find the derivative of the function. (x + 1)(2x – 5) f(x) %3D 2x + 3

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Q: Find the second derivative of the function. f(x) x x-2 f"(x):

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Q: f(x) = Vx + 9

A: We have to find the derivative of the function: fx=x+9 We know the formula of differentiation,…

Q: Find the derivative of (x+h)²+y²=r²

A: Here the equation is x+h2+y2=r2.

Q: Find the derivative of the function f(x) = 3x−1

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Q: Find the higher order derivatives for f (x)=x^5, what is f^(6) (x)?

A: According to the given information f(x) = x5 and it is needed to calculate f6(x).Since, if p(x) is a…

Q: Find the derivative of the function. g(x) = 4eVx g'(x) =

A: