Derivative Calculator
Calculate derivatives of common functions with step-by-step solutions.
About the "Derivative Calculator" Calculator
Differentiation is a fundamental operation in differential calculus. It allows finding the instantaneous rate of change of a function, which geometrically corresponds to the slope of the tangent to the curve at a given point.
Our derivative calculator allows you to differentiate a wide range of mathematical functions. Simply enter your function, the variable with respect to which you want to differentiate, and the order of the derivative to get the result.
Supported Function Types
1. Polynomials
- Monomials:
x^n - General Polynomials:
ax^n + bx^(n-1) + ... + c
2. Exponentials
- Natural:
e^x - General:
a^x - Composite:
e^(f(x))
3. Logarithms
- Natural:
ln(x) - Base a:
log(x, a) - Composite:
ln(f(x))
4. Trigonometric Functions
sin(x),cos(x),tan(x)cot(x),sec(x),csc(x)- Inverse:
asin(x),acos(x),atan(x)
5. Hyperbolic Functions
sinh(x),cosh(x),tanh(x)
6. Roots and Powers
- Square Root:
sqrt(x) - Nth Root:
nthRoot(x, n)
7. Composite Functions
- Combination of functions:
f(g(x)) - Examples:
sin(x^2),ln(cos(x))
8. Rational Functions
- Quotients of polynomials:
(x^2+1)/(x-1)
Formula Used
- f(x)=The function to differentiate
- x=The variable to differentiate with respect to
- n=The order of the derivative