Estimate the slope of the tangent line at the point x=12, for f(x)=ln⁡(x). (Use decimal notation. Give your answer to three decimal places.) slope of the tangent line=

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A: We use the power rule to find the first derivative

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Q: Calculate the derivative. h(x) = π2(x - 1)

A: Our Aim is to find the derivative of the expression given below:- h(x) = π2(x - 1)⇒h(x)=π2x-π2 -(i)

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A: Solved below.

Q: Solve for the second derivative of f(x)=2x-2/x+5

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Q: Find the derivative. y=(5√x)/(8)

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Q: Calculate the derivative. f (x) = x 2e2

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Q: Take the derivative f(x) = x3cosx

A: Given :            fx=x3cosx

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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…

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Q: Calculate the derivative. f (x) = (x + 3)(x − 1)(x − 5)

A: The given function is In the expanded form the above function can be written as

Q: FInd the derivative.

A: Find derivative of

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A: To write the derivative formula of the given function.

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A:

Q: 1. Find the slope of the line tangent to the graph of the function defined by f(x) = 4 + 2x - x2 at…

A: As you mentioned only 1 solved

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Q: find the derivative of the function f(x) = 7(x^3-x)^4

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Q: Use the Quotient Rule to find the derivative of the function.…

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Q: Write the definition of the derivative of f (x).

A: Two types of derivatives are defined 1) LHD -  Left Hand Derivative 2) RHD - Right Hand Derivative…

Q: 23: USE THE DEFINITION OF THE DERIVATIVE to find the derivative: :9(x)=3

A:

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Q: Find the slope of the line tangent to the curve f(x)=3x-2 when x-2.

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

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Q: 33. Solve for the second-order derivative of the function below. Y = x 3x3 За

A: Differentiate two times wrt x

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A: The given function is,

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Q: Determine the derivative. x – 2x + а) у- x+3 b) y = n(4x² – 5x)

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Q: Determine the derivative function for f ( x ) = 6 x^3 + 9 − 7/x^2.

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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: