The derivative of a cross product is found through the cross product formula Dt(r(t)×q(t))=r?(x)×q(x)+r(x)×q?(x), where r and q are the cross product values. The derivative is found by plugging in the known cross product... More »

The derivative of an inverse tangent is denoted by the formula: y = tan^-1 x. Given that the function has a restricted domain of pi, its derivative is: d / dx (tan^-1 x) = 1 / (1 + x^2). This is the basic derivative of a... More »

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 ma... More »

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 arcsin(x). By definition, arcsin(x) = -iln(ix + sqrt(1-x^2)), whe... More »

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. It is typically denoted as the function f(x) taken to the power... More »

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. More »

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. You need scratch paper and can use a graphing calculator to check... More »