Differential calculus

A mathematical concept of calculating change in a variable with respect to change in another variable is called differential calculus.

Basics

There are three fundamental concepts in differential calculus. So, learn the following four concepts firstly to start studying the differential calculus.

Formulas

List of rules of differential calculus with proofs to differentiate different kinds of functions.

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Proof of Derivative Rule of Inverse Cot function

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Sum Rule of Integration

Latest Math Problems

Dec 01, 2019

Evaluate $\displaystyle \int{\dfrac{1}{x^2+4x+3} \,} dx$

Nov 21, 2019

Evaluate $\displaystyle \large \lim_{x \,\to\, 0}{\normalsize \dfrac{x^3\sin{x}}{(\sec{x}-\cos{x})^2}}$

Nov 18, 2019

Evaluate $\displaystyle \large \lim_{x \,\to\, 0}{\normalsize \dfrac{(e^{-3x+2}-e^2)\sin{\pi x}}{4x^2}}$

Nov 13, 2019

Evaluate $\dfrac{d}{dx}{\Bigg[\dfrac{1}{b}\tan^{-1}{\Big(\dfrac{x}{b}\Big)}-\dfrac{1}{a}\tan^{-1}{\Big(\dfrac{x}{a}\Big)}\Bigg]}$

Nov 06, 2019

Evaluate $\displaystyle \int \limits_0^{\frac{\pi}{2}} {\dfrac{\cos{x}}{6-5\sin{x}+\sin^2{x}} \,}dx$

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Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.

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