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How the Derivative Calculator works

To calculate the second derivative we use the chain rule twice.

For example, if y = x3 - 2x + 4, the derivative of y with respect to x can be found as in the screen shot at right.

Use the new quotient rule to take the partial derivatives of the following function:

The final step is the same, replace u with function g:

... as well as the math for calculating the partial derivatives. Make sure you work through those; I wrote out the derivation to make it easy to follow.

... a clear picture of more than one slope in a function, let's evaluate the two partial derivatives at the point on the function where x = 1 and y = 2:

Not-so-basic rules of partial differentiation

Partial derivative calculator. Derivatives and gradients

Online Derivative Calculator

Step-by-step solutions »

Develop your derivation skills

derivatives calculator

Partial Derivative example

example of finding a partial derivative

Question: Calculate the indicated partial derivative. Calculate the indicated second partial derivative at.

The first order partial derivatives are: With respect to x: 1/x dx. With respect to y: 2/y dy. With respect to z: -3/z dz

Second partial derivative calculator

Step-by-step Derivative Calculator

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