Thursday, February 14, 2013

How to Symbolab Derivatives

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.

derivatives step by step solution

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):

derivatives step by step solution

Show steps...

derivatives step by step solution


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

derivatives step by step solution


And the steps…

derivatives step by step solution


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

derivatives step by step solution

Steps…

derivatives step by step solution


Stay tuned for more step-by-step solutions…

Until the next post,

Michal


Sunday, February 3, 2013

How to Symbolab free form equations

Typing equations can be challenging, to make it simple we’ve created the pad.  But most web search engines and tools support text equations (or Latex at best).  If you are used to text equations not to worry, we now support freeform equations (I.e. text and symbols).  Why?  So you can symbolab your way.

How is this different than the generic search engines?  Symbolab understands equations, not just as a collection of keywords and symbols, but the mathematical meaning of the expression.  Symbolab returns solution with steps, plot, and relevant search results, where other search engines just can’t.

free form equations

Let’s start by solving a quadratic equation - click here

x squared minus 2x plus 4 equals 6

Once you click Enter or Search you will notice the equation transformed into mathematical expression, magic…

x squared minus 2x plus 4 equals 6 results

Let’s step up to, my favorite, integrals - click here

integrate (sin squared x) over (cos squared x)

Search, and...

integrate (sin squared x) over (cos squared x) results

Ready to mix and match? - try this

mix and match

Search

mix and match results


Use the pad, type in text or mix and match, do math your way… and make sure you send us feedback.

Until next week,
Michal