What is the third derivative of x sin x?

The derivative of sin(x) sin ( x ) with respect to x x is cos(x) cos ( x ) . The third derivative of f(x) with respect to x is −cos(x) .

What is the derivative of sin x with respect to log X?

The derivative of sin x with respect to log x is x cos x.

What is the 3rd derivative of Cos X?

And yes the 3rd derivative of cos x is sin x .

What is the value of d dx sin x .TAN X?

Use logarithmic differentiation to get ddx(sin(x)tan(x))=(1+ln(sin(x))sec2(x))⋅sin(x)tan(x) .

Is there a 3rd derivative test?

The third derivative test, or more generally the higher-order derivative test , gives a complete classification of the stationary points of a function. It’s somewhat obscure, probably largely because it doesn’t generalize to functions of more than one variable in any nice way.

What does the third derivative represent?

The third derivative is the rate at which the second derivative (f′′(x)) is changing.

What is the derivative of log x and sin x?

Since derivative of log x is 1/x and derivative of sin x is cos x. 1/sin x*cos x is the derivative of given function. This can be further written as cot x. As (cos x/sin x = cot x).

How does this calculator evaluate derivatives?

This calculator evaluates derivatives using analytical differentiation. It will also find local minimum and maximum, of the given function. The calculator will try to simplify result as much as possible.

Why does the derivative calculator have a multiplication sign?

A specialty in mathematical expressions is that the multiplication sign can be left out sometimes, for example we write “5x” instead of “5*x”. The Derivative Calculator has to detect these cases and insert the multiplication sign. The parser is implemented in JavaScript, based on the Shunting-yard algorithm, and can run directly in the browser.

How do you find the derivative of a function with X?

Given a function f (x) f ( x), there are many ways to denote the derivative of f f with respect to x x. The most common ways are df dx d f d x and f ′(x) f ′ ( x). When a derivative is taken n n times, the notation dnf dxn d n f d x n or f n(x) f n ( x) is used. These are called higher-order derivatives.