Differentiation Solver

About Differentiation

Differentiation at undergraduate level reuses the school rules but layers them. The 18 examples cover the chain rule for nested functions, the product and quotient rules for combinations, implicit differentiation when y is tangled with x (find dy/dx when x² + y² = 25), parametric differentiation when both x and y depend on a third variable t, and logarithmic differentiation for products of many factors. Each example shows the 'let u = inner function' substitution step clearly — skipping it is the single biggest source of dropped marks in semester exams.

What this calculator does

  • Step-by-step working. Every intermediate line is shown, in the layout examiners reward in CBSE / ICSE and university scripts.
  • Graphs where they help. Functions and equations are plotted so you can see the result rather than just read it.
  • Verification. The answer is substituted back into the original problem so you know the working is consistent.

Frequently Asked Questions

Is this Differentiation calculator free?

Yes, it is completely free to use with no limits.

How do I enter fractions or powers?

Use the toolbar buttons above the input field, or type standard math notation (like ^ for power, / for division).

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