Find the derivative of the function. g(x) = 9 + In(x)

Q: Using the definition of the derivative, find the derivative of the function y=1x.

A: Given function

Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3)  when the…

A: Given that, f(x) = 3x - 7 Then we get, f'x=limh→0fx+h-fxh

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

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Q: Find the derivative of the given function at a given number. 1. y = 3x² - 2 at f'(1)

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Q: 2x+1 Ise Derivative Rules to find the derivative of g(x) x2-1

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Q: Find the derivative of the function. g(x) = e-X + 3e2x - 2e-x + 11 g'(x) =

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Q: Using logarithmitic differentiation, find the derivative of y=x^2(x+1)^4/e^x^2

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Q: (1) Using the definition of derivative, find the derivative of the following functions: (a) y = xVx2…

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

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Q: 1. Please use this formula in finding the derivative of a given function. (. b. Find the derivative…

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Q: Find the derivative of the function. f(x) =  (x3 − 1x2 + 1)/x2   f '(x) =

A: We first simplify the given function

Q: Find the derivative of the function. 4 = 3 + 8cos x

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Q: Find the derivative of the function g(x) = log3 √(1 − x)

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Q: 6. f(x) = 3-*e*

A: given: f(x)=3-xex

Q: Find the derivative of the function.   f(x) = ex2 + 3

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :…

Q: Find the derivative of the function. 1 g(x) x2 +o g'(x) =

A: Use the basic power rule of derivative and simplifie.

Q: (a) f(x) =x² – 2r

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the derivative of y = 2^x + 6/x^7

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Q: Find the first derivative of the function below:

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Q: Find the derivative of the function. g(x) = ln(|x9 − x|)   g'(x)=

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Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3) when the…

A: Given function: fx=-x2+2x-3 Find the derivative of f(x) The formula for f'(x) is given as…

Q: 2x+1 Use Derivative Rules to find the derivative of g(x) x2-1

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Q: 1+2x (b) g(x) = 3-x

A: The given function is: g(x)=1+2x3-x To find its derivative using the limit definition which is:…

Q: 6 Find the derivative of f (y) =7tan(y) - 6.

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

A: To find the derivative of the function gx=ex2-xg'x=?

Q: Find the derivative of the function. h(x) =  5/ x2 +  3/ x3   h '(x)  =

A: The objective is to find the derivative of the function: hx=5x2+3x3

Q: calculate the derivative. g(x) = e2

A: We know that the derivative of a constant is zero. This result is used to prove the given statement.

Q: Q. / Find the derivative of y = (In(x²))'n(x²).

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Q: Find the derivative of the following​ function, where a and b are nonzero constants. y=asinx + bcosx…

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Q: Find the anti-derivative of the function and evaluate. g(x)=2x g(0)=7

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Q: 5-x. Calculate the derivative of y with re

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Q: Find the derivative of g(x) = e VIn x. %3D

A: gx=exlnx

Q: Find the derivative of the function using the definition of derivative. g(x) =    5 − x

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Q: Find the derivative of y with respect to x. (x-y)^2=2ax

A: The given function is: (x-y)2=2ax To find the derivative of y w.r.t. x.

Q: Using the definition of derivative, find the derivative of the following functions: (a) y = xvx² -2…

A: (1) Y = X*(X2-2)0.5       dY/dX = (X2-2)0.5  + (1/2) *(1/(X2-2)0.5) *…

Q: Use the Quotient Rule to find the derivative of the function. h(x) = x2 x + 2 h'(x) =

A: The solution is:

Q: Find the derivative of the function. f(x) = ex2 + 2

A: We use the chain rule for derivative

Q: Find the second derivative

A: Given, f(x)=x3x-1

Q: Find the derivative of the function g(t) = et et+e-t

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Q: Using the definition of derivative, find the derivative of the following functions: 1 (c) y= 2x

A: Given, The function  y = 12x   We have to find the derivative of the following function.

Q: Find the derivative of the function in (a). Find the derivative of the function in (b) Or show…

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Q: f(x) = log,(x² – x + 3)

A: Given: f(x)=log4(x2−x+3)

Q: derivative of y with respect to x. Use the given relation in its implicit form. (x - y)2 = 2ax.

A: We will find the derivative.

Q: Find the derivative of the following functions. With solutions y= x100

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

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Q: Calculate the derivative. g(x) = e2

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Q: Using logarithmic differentiation, find the derivative of f(x) =√(x2 − 3) / (1 − 3x)4

A: Using logarithmic differentiation, find the derivative of the given function

Q: 2. f(x) = 2x – 5x%

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