Q:
# What is the linear approximation formula?

The linear approximation formula is f(x) is approximately equal to f(x0) + f'(x0) x (x - x0), where f'(x) denotes the derivative of f(x). The linear approximation formula is based on the affine function and is used in math to approximate the difference between two vector functions.

Continue ReadingThe linear approximation formula results in an overestimation if the interval between x and x0 is concave downwards, whereas the formula results in an underestimation if that area is concave upwards. The formula is based upon a concept in calculus known as Taylor's theorem, which is used to find the function for a given point for a polynomial function.

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## What are the derivatives of inverse functions?

A: The derivative of an inverse function is a calculation of the slope at a particular point of a function that acts in the reverse manner of another function... Full Answer >Filed Under: -
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## What is the derivative of inverse sine?

A: The derivative of the inverse sine of x with respect to x is 1/sqrt(1-x^2), where "sqrt" stands for square root. Inverse sine of x is sometimes written as ... Full Answer >Filed Under: -
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## What is the derivative of tan (x)?

A: The derivative of the tangent of x is the secant squared of x. This is proven using the derivative of sine, the derivative of cosine and the quotient rule.... Full Answer >Filed Under: -
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## What is the slope formula?

A: The formula for finding the slope of a line on a coordinate plane is (y2 - y1) / (x2 - x1), where (x2, y2) and (x1, y1) represent two distinct points on th... Full Answer >Filed Under: