Evaluate f(1/2) for the function f(x)=e^x+1

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

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

Q: Find the anti-derivative of f'(x)=7x

A: Given : f'x = 7x

Q: Compute the derivative f'(x) for f(x) = log(x*) sin(x³).

A: Topic - derivative

Q: Find the derivative of f( x ) = 2° log3(z + 2.5) f'(x) =

A: The first derivative of the function is . The product rule of the differentiation is .

Q: Suppose we want to use logarithmic differentiation to calculate the derivative of y=x²x . As a first…

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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: Find the function whose derivative is Inx+1.

A:

Q: find nth derivative of y=x/(x+1)^4

A: To find the nth derivative of the function y=x(x+1)4=x+1-1(x+1)4=1(x+1)3-1(x+1)4

Q: Find the thousandth derivative of  f(x)  = x e-x

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Q: Find the second derivative. 9. f(x) = V4x-5 f"(x) = f'"(x)=|

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Q: What is the derivative of the function f(x)=1/x+1 at x=1?

A: To find out the derivative of the function at x=1

Q: State the derivative. Do not simplify. f(x) = log(x) + log₂ (x)

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Q: compute the derivative f (x) = ln(4x2 + 1)

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Q: x+1

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

Q: What is the first derivative of s(x)=(6x)^3x at x=3? Enter an exact answer in terms of a natural…

A: We will take the logarithm with base e and then find the derivative with respect to x and then…

Q: Determine the derivative of f(x)=ln(x√x^2+1).

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Q: 5th derivative of y = log x^5 to the base 2

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Q: Find the derivative of f(x) = Inx + 1].

A: f(x) = ln [x2x2+1]f'(x) = ddx[ ln [x2x2+1] ]f'(x)= 1 x2x2+1 ddx[x2x2+1]

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

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

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

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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 the derivative of: f(x)= x^(1/x) using logarithmic derivatives

A: Given function

Q: Compute the derivative. f (x) = (2x4 − 4x−1) sec x

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Q: Find the derivative of the function.

A: Given that, f(x)=ln(x-1)   As we know, ddxln(x)=1x Chain Rule Of derivative, If…

Q: Find the derivative of f(x) = log35x2+1

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Q: Find the derivative of f(x) = xcosx. 7.

A: Find the derivative of the given function.

Q: What is the first derivative of f(x) = ]n( 3x´+7x 5x

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Q: Differentiate the function   f(x) =    1/  ln x

A: Given function is fx=1lnx We know that 1an=a-n So, given function can be written as fx=lnx-1 Before…

Q: Find the derivative of f( x ) = æ° log3 (x + 4.5). %3D f'(x) =

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

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Q: use the chain of rule to differentiate f(x) = (x^10+ln(x))^10. What is the value of f^1(l)?

A: The given function f(x)=x10+ln x10

Q: Find the derivative of the function. f(x) = 2x2 In 2x f (x)= 2x[1+2 log(2x)]

A: fx=2x2ln2x

Q: Explain why the definition of a numerical derivative does not exist at x = 2 in the graph shown.

A: Consider the given: The numerical derivative does not exist a point in three cases: 1) when there is…

Q: Solve the derivative of f(x)=−1/√2 x +2x

A: Given- fx=-12x+2x To find- The derivative of the above function. Formula used- Using the power rule…

Q: Find the derivative f(x)= Inlex+9)

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

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

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Q: x(2x+3) 17. f(x) =- (x° +1)

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Q: derivative

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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 4th derivative of x^10 evaluated at x=0. What would be the 100th derivative of x^2000 be at…

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Q: Find the first derivative of f (x) = 2* 2*

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Q: Determine the derivative: y = log (3x2) (01)प य log (3) ** In(10) 6 log (Sx) r In(10) Oy= 18x In(10)…

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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(x^2+1)^3

A: Find the derivative of function:

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

A: Here we find derivatives of function.

Q: Find the derivative f(x) = log7 (6x*+3)

A: We need to evaluate the derivative of,

Q: Find the derivative of f (x) = In(3x² – x)³ in two different ways; (a) with the chain rule %3D | and…

A: Given fx=ln3x2−x3aUsing Chain Rulelnfx'=1fxf'xDifferentiate w.r.t…

Q: Use the definition of derivative to compute f '(0). e-1/x if x * 0 if x - 0 f(x) f '(0) -

A: The definition of the derivative is given by: f'(x)=limh→0f(x+h)-f(x)h⇒f'(0)=limh→0f(h)-f(0)h  ...…

Q: Find the derivative of the function. h(x) = log4(x + 9) h'(x) =

A: Topic = Derivative