Enter the expression you wish to differentiate below.

Operators: + , - , *, /, ^ . Constants: e , pi . Functions: sqrt , log (natural logarithm) , sin , cos , tan , sec , csc , cot

The derivative with respect to is:

12*x^2 + 6*x + 2

The deriver function of the calculator makes it possible to compute function derivations online by using the properties of the derivative on the one hand and the derivatives of the usual functions on the other hand. Derivative calculation obtained is returned after being simplified.

Some rules of differentiation are a snap to remember and use. These include the constant rule, the power rule, the constant multiple rule, the sum rule, and the rule of difference.

The constant rule: This is simple. f(x)=10 is a horizontal line with a slope of zero, and so its derivative is also zero.

So, for any number a, if f(x)=a, then f'(x)=0.

Say f(x)=x^5. To find its derivative, take the power 5 bring it of the x and then reduce the power by1. That gives you f'(x)=5x^4

Derivative of Exponential function f(x)= e^{x } : f'(x)= e^{x }

Derivative of Exponential function f(x)= a^{x } : f'(x)= a^{x } ln a

Derivative of Natural logarithm function f(x)= ln(x) : f'(x)= 1/x

Derivative of Logarithm function f(x)= log_{b } (x) : f'(x)=1/(xln(b))

Derivative of Sine function f(x)= sin x : f'(x)= cos x

Derivative of Cosine function f(x)= cos x : f'(x)= -sin x

Share it
## MATH CALCULATORS

- Area and Perimeter Calculator
- Calculate derivatives
- Circle Solver
- Factorial Calculator
- Factoring Numbers Calculator
- Fibonacci Sequence of Numbers
- Fractions In Simplest Form Calculator
- Greatest Common Divisor & Least Common Multiple Calculator
- Greatest Common Factor
- Integral Calculator
- Matrix Calculator
- graphing calculator and multiple function plotter
- Polygon Area and Perimeter calculator with points
- Prime Number Checker
- Properties of Triangle Calculator
- Pythagorean Theorem Calculator
- Quadratic Formula Calculator
- Quartic Equation Calculator
- Simplify Math Expressions Calculator
- Volume and Surface Area Calculator
- Barrel Volume Formula & Calculator
- Cone Volume Formula & Calculator
- Frustum of A Cone Volume and area Formula & Calculator
- Cube Area and volume Calculator
- Cylinder Area and volume Calculator
- Hollow cylinder volume Calculator
- Sectioned cylinder area and volume Calculator
- Parallelepiped Area and volume Calculator
- Hexagonal prism Area and volume Calculator
- Pyramid Area and Volume Calculator
- Frustum of a Pyramid Volume Calculator
- Sphere Area and Volume Calculator
- Spherical cap Area and Volume Calculator
- Spherical Sector Area and Volume Calculator
- Spherical Zone Area and Volume Calculator
- Torus Area and Volume Calculator