Differentiation is fundamental to calculus; it has applications to nearly all quantitative disciplines. For example, in physics, the derivative of the displacement of a moving body with respect to time is the velocity of the body, and the derivative of velocity with respect to time is acceleration.

You probably want to know how to differentiate. Basically, there is a list of rules and known function derivatives (namely trigonometric, hyperbolic, exponential and logarithmic) to apply, but what rule should be used, when and how. This can be tricky and might require multiple applications of the same rule. Symbolab can help you master derivatives with detailed step-by-step solutions.

How does it work? Same as before, you type in an equation to differentiate using the pad or text, press the search button to get relevant documentation, solution and plot.

So what’s new? If you press the show steps you will get detailed description of the solution step-by-step. Awesome!

Let’s compute a couple of derivatives:

Differentiating exponential and logarithm functions using the chain rule (click here):

Show steps...

Differentiating trigonometric functions using the product and chain rules (click here):

And the steps…

Differentiating hyperbolic functions using the quotient and chain rules (click here):

Steps…

Stay tuned for more step-by-step solutions…

Until the next post,

Michal