Consider the following function. s(x) = 6 %3D (a) Calculate the derivative of the given function without using either the product or quotient rule. s (x) = (b) Use the product or quotient rule to find the derivative. Check that you obtain the same answer. s (x) =

Q: Find the derivative of the function. x-5 y = In x +5 %D

A: Differentiate wrt x

Q: Find the derivative of the function. 3x 9(x) = e+5.

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Q: Find the derivative of the algebraic function.

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Q: 3 Find the derivative of f(x) = x°e*.

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Q: Find the derivative of the given function. 3-2х y = 3+2x

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2 y = 3x2

A: Power rule of derivative is defined as dxndx=nxn-1. Difference rule of derivative is defined as…

Q: Find the derivative of the function. h(s) = -27s2 + 9

A: topic  -  derivation

Q: Find the derivative of the function g(x)=e^x/3−5x g'(x)=

A: Apply rule of u/v.

Q: Find the derivative of the following function. 3x f(x) = e X+5 3x dx -*+5

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

A:

Q: Find the derivative of the function.. 8 7 h(x) 218 4 х - h'(x)=

A: To find the drivative of the given function y=h(x)

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: 5. f(x)=3x*e*

A:

Q: Find the nth-order derivative of the function y=x2cosx.

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Q: Given y=3x-2x2. Find its derivative and show that when x=5, a small change in x by P% will cause y…

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Q: Find the first derivative of the following implicit function. x3 + y3 + 3 xy2 = 8

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Q: what is the derivative of the following function; y = x 2e -3x

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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 second derivative of the function.

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

Q: Find the derivative of the given function.     y=x^3/5

A: Use power rule to obtain the derivative of given function.

Q: Find the third derivative of the function y=e2xlnx.

A:

Q: 213 20 fet)= (9t+3)

A: The given function, f(t)=9t+323

Q: y = e(-x2+3x-4 )

A: Given: y=e-x2+3x-4

Q: find the derivative of the given function F(x)=  x+1/x-1

A: The given function

Q: Find the derivative of the function. y= log 4- x

A:

Q: 6. y F-2x

A: The given function y=31-2x2

Q: f(x) e3x+1 lnx³

A: Here we have two functions in the right hand side. That is f(x) is the product of two functions. So…

Q: For what values of x is the derivative of the function 2x - 3x equal to 14?

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

Q: Find the derivative of the function. g(x) = 500(5 – e-0.1x)

A: Given,           g(x)=5005-e-0.1x

Q: Find the derivative of the function y = log3(x2 − 3x)

A: Consider the following: y=log3x2−3xDifferentiate w.r.t.…

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

A:

Q: Find the derivative of the function. g(x) =(e^x/(x^2+10)^4)  g'(x)

A: We use the product rule to find the first derivative g'(x)=exp(x)(x^2+10)^4+exp(x)*4(x^2+10)^3*2x…

Q: Find the derivative of the following function. x* +7 h(x) = 2x -7 h'(x) =

A: We differentiate  the above function.

Q: Find the derivative of the function. h (x) = x (4 + 4x)

A: Given : hx=x4+4x

Q: Find the derivative of the function g(x) = .5 3x + gʻ(x) =|

A: To find the derivative of the given function

Q: Find the derivative of 6x^5(e^x) + x^6(e^x).

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Q: Find the derivative of y = x"+1 + (n + 1)*

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Q: Find the third derivative of the given function. 8 f(x)

A: This question can be solved using the concept of third order derivatives.

Q: Find the derivative of the following function 1. f(x) = 5x' - 32x + e?

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Q: b) Find and simplify the derivative of the function below: y = x°(3x² + 1)*

A: Use the chain rule and power rule of derivative and simplify the result.

Q: Find the derivative of the function. h(s) = −2√(5s2 + 3)

A: the given function is: hs=-25s2+3 we have to find the derivative of the given function.

Q: Find the derivative of the function. 2 1 3 h(x) x3 h'(x) =

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Q: Find the derivative of the function g(x)=e^x/2+5x g'(x)=

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Q: Find the derivative of the function. g(x) = ∣3x − 5∣

A: We have to find the derivative of the function, g(x) = ∣3x − 5∣

Q: x +2 f(x)= x - 3

A:

Q: Calculate the derivative of the following function. y= csc(7x+3

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Q: Find the derivative of the following function. 8x +1 h(x) = X +7

A: