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# 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 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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## How Do You Find the Derivative of Sin2x?

A: To find the derivative of a sin(2x) function, you must be familiar with derivatives of trigonometric functions and the chain rule for finding derivatives. ... Full Answer >Filed Under: -
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## How Do You Solve a Power Reduction Formula?

A: To solve a power-reduction formula, express it in a simplified way without exponents. For example, solve "sine to the 4th power times x" by squaring "sine ... Full Answer >Filed Under: