Calculate f(10^-2) for the function f(x) = e^x - x -1. The answer should have five significant digits

Q: Compute the derivative.    f'(3),   f(x) = log5 x

A: Given: fx=log5 x  ……1   To find: f'3

Q: Find the First Derivative: y=log10(5x+3/5x-4)

A:

Q: find the derivative using logarithm of y= (x+2)^2

A: Take ln on both sides Then differentiate both sides with respect to x

Q: How is this derivative found?

A: Given expression

Q: Use logarithmic differentiation to find the derivativeof the function.

A:

Q: please take the first and second derivative of this function:    cube root of x^2 - (1/cube root of…

A: First express the expression with exponents of x.

Q: Find the third derivative if the function. 15. f(x)= 1/x

A:

Q: What is the derivative of the natural logarithm function ln x? How does the domain of the derivative…

A: Given: fx=ln x To find: (a) The derivative of f(x)  (b) Compare the domain of the derivative with…

Q: Evaluate the derivative: y = log2(log2x)

A: It is given that,

Q: Compute the derivative in terms of log for y=log(xe^(-3x))

A:

Q: How to use a graph of a derivative to determine the parent function.

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Q: x+1

A: By using the formula you can solve the given problem as follows :

Q: Find the derivative of f( x ) = log3(x + 6.5). f'(x) =

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Q: f (x) = ln(x · 5*)

A:

Q: Find the derivative of y =log2x

A:

Q: Find an expression for the derivative of the exponential function y=ex using the definition of…

A: To determine the derivative of exponential function y=ex using definition of derivative.

Q: Find all functions ƒ whose derivative is ƒ'(x) = x + 1.

A: Given that f'(x)=x+1

Q: find the derivativey=log(to the 4th) time (2x Third -6x)

A: To apply the rules for derivative of composite functions

Q: solve for the first and second derivative of the function:

A: Given function is: f(x)=log2 cos x + ln π We need to find the first and second derivative of the…

Q: What is the second derivative of: -(4-x^2)^1/2

A:

Q: sketch the graphof the function and state its domain. f (x) = 4 ln(x − 2) + 1

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: State the derivative rule for the logarithmic function ƒ(x) = logb x.How does it differ from the…

A: Given: fx=logbx for finding derivative of given function, first we convert it's base in e then…

Q: What is the derivative of the exponential function ex? How does the domain of the derivative compare…

A: To determine the derivative of the function ex and domain of the derivative.

Q: FIND THE THIRD DERIVATIVE OF A FUNCTION

A: Given, The function  fx = 11x2+9x-723x-5x2 We have to find the third derivative of the function.

Q: What is the inflection point of the function f(x) = x5 ln(x)?

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Q: Use logarithmic diffenentiation on an alterative method to findthe derivative of the function?

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Q: Find the first derivative of (x^5+6x^3+10x)/sqrt x

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Q: 2. y=cot1-2x 3. y=log22x*

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Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

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Q: Find the 1600th derivative of f(x) = xe¯X. f(1600)(x)

A: The given function is fx=xe-x. Observe that,…

Q: Find an equation of the tangent line to the graph of the logarithmic function at the point (1, 0). y…

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Q: Find the derivatives of function (log x)tanx

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Q: Find the fifth derivative of  f ( x) = 3 x 3 - 7 x 2 + 6. Use correct notation.

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Q: What is the derivative of: log x/(x+1)

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Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: Find the nth order derivative of the natural logarithm function y=lnx.

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Q: Find the second derivative of f(x)=x^-2 when x=4

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Q: Find the derivative and simplify: f(x)=ex-cotx

A: To determine the derivative.

Q: Find the derivative of the natural logarithm y=lnx.

A:

Q: Evaluate the derivative using logarithmic differentiation if y = (x + 7)(x + 4)(x + 9). y' =

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Q: Calculate the derivative. y=3/log5x

A: Given function is

Q: Find the 1400th derivative of f(x) = xe-X.

A: Here we find derivatives of function.

Q: Find the derivative of f(x) Give answer in exponential notation with positive exponents

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Q: find the equation of the tangent line to the graph of the logarithmic function at the point (1,0)…

A: Given problem:- find the equation of the tangent line to the graph of the logarithmic function at…

Q: State the second-derivative test for functions of two variables.

A: State the second - derivative test for functions of two variable.

Q: Give 5 examples of derivative of exponential function with solution

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Q: Find the derivatives of 20" log(tan x)

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Q: What is the derivative for: X^3/(1-x^4)

A: What is the derivative for  x^3/(1-x^4)

Q: Write the derivative of 7 log8(x)

A: We have to find the derivative of 7 log8(x).

Q: what is the Derivative of Exponential Functions?

A: