Take the derivative of y = (7+ x)" 7+x)²

Q: Compute the derivative using derivative rules. y = (2e3x + 3e-2x)4

A: Solution:Given     y = (2e3x + 3e-2x)4 Formula:ddx(xn)=nxn-1ddx(eax)=a eax

Q: What is the derivative of the function f(x) = 2x + 3 at the number x = 4?

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Q: Find the derivative of ƒ (x) = /7– 8x. %3D To enter va, type sqrt(a). f' (2) =

A: We have to find the derivative of the given function.

Q: Find the derivative of the function. f(x) = (9x2 – x) In(x) f'(x) =

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Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x - 5 at x = 0 using…

A: Given function is y=x2+4x−5. We have to evaluate the first derivative of y=x2+4x−5 at x=0 using a…

Q: Calculate the derivative at the point (0,0) of the function given by the equation x5+y5−2x+2y=0.

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Q: Зх-1 5. y = 2х+5

A: We will find the derivative by using the delta function.Below find the solution with details…

Q: Calculate the derivative with respect to x of the other variable appearing in the equation.…

A: Given, xy2+x2y5-x3=3

Q: A Find the derivative using the three-step rule. 1. y = 11-9x

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Q: Find the derivative of the function without using the Quotient Rule. y 63 8(x)10

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Q: Find the derivative of f (x) = 9x − 5 at x = 2 and x = 5.

A: The derivative of a function f(x)  at a point a  can be calculated by applying the value a   to the…

Q: Use the DEFINITION OF A DERIVATIVE to find the derivative of the function. 5) f(x) = 2x2 at x 1 %3D

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Q: Compute the derivative. f(x) = (2x 4 - 4x- 1) secx

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Q: Find the derivative of y=7tan^-1(x-(sqrt(1+x^2)

A: Chain rule:

Q: Compute the derivative using derivative rules. y = (9 - (5 - 2x4)7)3

A: Given : y = (9 - (5 - 2x4)7)3   To find the derivative.

Q: Find the derivative of function.

A: We have given y=-2ln x3x-1. Differentiate both sides with respect to x. Use constant multiple rule…

Q: Find the derivative.

A: Given: To find the derivative of y=2x-3-xx

Q: Find the derivative of f(x) = - 2 * root(4, x ^ 5) + 7/(x ^ 6)

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Q: Find the derivative of the function f(x) = {x3 - tan tan (4x2 -2)}4

A: The question is taken from the calculus in which we have to find the derivative of given function We…

Q: Compute the derivative using derivative rules.      y = (x 3 + 3x + 9) -4/3

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Q: Calculate the derivative indicated.    f ''' (-3),    f(x) = 4ex - x 3

A: Given: fx=4ex-x3 To Find: f'''-3=?

Q: 3. = 2x-y х+3у

A: We will differentiate the given problem with respect to x.

Q: Compute the derivative using derivative rules  y = (x2 + 9x)- 2

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Q: What is a derivative of -2x/(x^2-1)^2?

A: Differentiate the expression -2x/(x^2-1)^2 with respect to x as follows.

Q: Where does the derivative of g(x)=(x^2)/((x^2)+3) = 0 or is undefined?

A: Given function, gx=x2x2+3

Q: Find the derivative of y=(6x^(1/3) - 2x^(1/7))^5, when x=5.

A: Solution

Q: Find the derivative of f(x) = 6* – 3* + In x -

A: Differentiate: fx=6x-3x+lnx

Q: What is the second derivative of f(x)=x^2lnx

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Q: Find the derivative using the first principle  F(x)= (x-1)(x-2)

A: Given F(x)=(x-1)(x-2) To find the derivative using the first principle From the first principle, we…

Q: Find the derivative of the function f(x)= xsinx+x^2e^2-1.

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Q: find the derivative of the function f(x)=x^3+2x at -3

A: find the derivative of the function f(x)

Q: Find the derivative of f(x) = (2x^2-x-1)(sqrt of x) %3D

A: A detailed solution is given below.

Q: Find the derivative of the function by definition. 1- V2x+3

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Q: Compute for the derivative of the function f(x)= Arctan (csc2 (3x2/3))

A: Some derivative formulas: ddxtan-1x=11+x2 ddxcscx=-cotx cscx Chain rule of derivative:…

Q: Find the derivative of the function ° (2x + 1) f(x) = In x2 – 3 -

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Q: If f(x)=4sinx-x^3, what is the second derivative of f?

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Q: What is the derivative of a function f(x) = 4x³ – 3x2 at a number a? %3D

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Q: Calculate the derivative of the function y=x(2+3x) without using the product rule.

A: Given function is y=x2+3x. Given function can be written as y=2x+3x2. Power rule of differentiation…

Q: 9) Find the value of the derivative at the point (2,-18) ƒ(x) = -3xV2x + 5

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Q: What is the derivative of (x^2+1)^x?

A: Use the lograthim to find the derivative of given expression.

Q: Find the derivative of f(x)=sec(x)

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Q: Find the derivative of the function of: a) y=sec33x b) y=csc2(2x2)

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Q: What is the derivative of cy = 2 - a°y ?

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Q: the derivative of f(x) = xi at the point x = 4?

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Q: Find the derivative of the function f(x) = v4-x2 by definition

A: The given function is f(x)=4-x2 The definition of the derivative is given by: If a function f(x) is…

Q: Find the derivative of f (x) = – 5x 5z) (-² + 6x – 6 ) . -

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Q: Find the derivative of f(x)=5-x/2sin2x

A: Consider the given function.

Q: Find the derivative of the function without using the Quotient Rule. y = 63 8(x)10

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Q: What is the first derivative of y(x) = In (3x + 6x2 + 2x + 6)?

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