Use the graph of f(x) above to estimate the value of f'(0) to one decimal place.

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

A: Topic - derivative

Q: Find the second order derivative of f(x) exsinxcos2x

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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: Find the derivative. h(x) = In(cosh(7x)) h'(x) =

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Q: Find the nth-order derivative of the function y=x3sin2x.

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

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Q: Find the derivative of k(x) = log3(x) cos

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Q: Consider the function f(x)  whose second derivative is f"(x) = 10x+4sin(x) . If f(0)=2  and f'(0)=3…

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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: What is the second derivative of f(x)=6x^4 at the point x=−2?

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Q: Find the derivative of the function. f(x) = In(x + 1) f'(x) =

A: To find the derivative of the function fx=lnx+1

Q: find the derivative of f (x) at the designated value of x. f (x) = 1x at x = 1/16

A: Given: fx=1x To find the derivative  Differentiate the given function with respect to x we get,…

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

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Q: Find the derivative of f (x) = x at x = -4 algebraically. f' (-4) =

A: f(x)=x3 Find f'(-4)

Q: Find the derivative of the function f.

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Q: f (x) = ln(x · 5*)

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Q: Here is the graph of the second derivative of a function g(x). g"(x) Where does g(x) have a point of…

A: Inflection point is at that x value where the double derivative of the function is 0.

Q: 1 ソ= 1- x

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Q: Find the derivative of the function f(x) = coth−1(x2)

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Q: Find the derivative of the function. f(x) = 2x In(x) f'(x) =

A: Let us consider the given function as: fx=2xlnx By using product Rule of derivative, we get:…

Q: find the derivative of f (x) at the designated value of x. f (x) = x3 at x = 12

A: The derivative of a function can be calculated by differentiating both sides of the function with…

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

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Q: Suppose that the second derivative of the function y=f(x) is y'' = (x-3)(x+9). For what x-values…

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Q: 2. f(x) = x2– 5x + 6 at x 2 --

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Q: What is the derivative of the function with respect to x of (x + 1)³ – æ° -

A: Given : Function x+13 - x3   To find : Derivative of the given function with respect to x?

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

A: Given function

Q: p(x) = In(x)^/x

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Q: Match the graph of the above function with the graph of its derivative. 0 ㅇ O 수 +

A: The given graph of the function is the graph of a semi circle. Or positive side of the circle.

Q: find the derivative of f (x) at the designated value of x. f (x) = x + 11 at x = 0

A: To find the derivative of f(x)=x+11 at x=0 Solution: f(x)=x+11 Differentiating both sides w.r.t x we…

Q: Suppose that the second derivative of the function y = f(x) is y" = x*(x = 2)°(x + 3). For what…

A: Given: The second derivative of the function y=f(x) is y"=x2(x-2)3(x+3) Definition: The inflection…

Q: Use the fact that the derivative of the function ​f(x)=4/x is f"(x)=-4/x2 to find the equation of…

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Q: Given the derivative f'(x), find the x-value for all relative extreme for the graph of the original…

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Q: 1, Find the first and the second derivative of f(x): f(x)=x

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

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

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Q: If f(x) = x³ + find f"(-1).

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Estimate the derivative of the function f(x)= 7 –9x at the point x = 6 using the balanced difference…

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Q: FIND THE DERIVATIVE OF THE FUNCTIONy=0.6e to the fifth(x) degree

A: The given function "y" is shown on the white board. We need to find its derivative. Before we get…

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

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Q: Use a quick approximation to estimate the derivative of the given function at the indicated point.…

A: f (x) = 1 − 2x  point,  x = 2 To use quick approximation to estimate the derivative, f'(2).

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

A: Given function,  f(x) = xe-x  To find the thousandth derivative of f(x)

Q: Find the derivative of f(x)=sin(8x) f′(x)=

A: Answer is 8cos(8x).

Q: Find the derivative of the function. x + 4 f(x) = In X – 4 | f'(x) =

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Q: Find the derivative of the function.

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

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Q: Find the nth derivative of the function y=xlnx at x=1.

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Q: What is the derivative of the function B(x)=3/(x+2) at x=a?

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Q: Find the derivative of f(x) = log(-6x* – 6x + 5) at the point x = 2. Provide your answer below:…

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Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

A: Given that, y=f(x) Second Derivative is y'' = x2(x - 2)3(x + 3). As we know that, Inflection point…

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  ...…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: