Derivative Calculator
Calculate derivatives of polynomial functions. Enter a polynomial and get the derivative instantly.
16.1Kuses
8.3/10(308)
Supported: polynomial terms like 3x^2, -2x, 5. Use x for the variable and ^ for powers.
f(x) = 3x^2 + 2x - 5
f'(x) =
6x + 2
Derivative Reference Table
f(x)
f'(x)
Category
c (constant)
0
Basic
x
1
Basic
x^n
n*x^(n-1)
Power
e^x
e^x
Exponential
a^x
a^x * ln(a)
Exponential
ln(x)
1/x
Logarithmic
log_a(x)
1/(x*ln(a))
Logarithmic
sin(x)
cos(x)
Trigonometric
cos(x)
-sin(x)
Trigonometric
tan(x)
sec^2(x)
Trigonometric
cot(x)
-csc^2(x)
Trigonometric
sec(x)
sec(x)*tan(x)
Trigonometric
csc(x)
-csc(x)*cot(x)
Trigonometric
arcsin(x)
1/sqrt(1-x^2)
Inverse Trig
arccos(x)
-1/sqrt(1-x^2)
Inverse Trig
arctan(x)
1/(1+x^2)
Inverse Trig
sqrt(x)
1/(2*sqrt(x))
Power
How to Use
- Enter a polynomial (e.g., 3x^2 + 2x - 5).
- The derivative is calculated using power rule.
- Reference table shows common derivative formulas.
Recommended Products
Ad📊Graphing CalculatorsShop →🔢Scientific CalculatorsShop →📚Math TextbooksShop →📋WhiteboardsShop →📐Geometry SetsShop →💻Laptop StandsShop →🖱️Wireless MouseShop →🔌USB-C HubShop →👓Blue Light GlassesShop →🖥️Desk PadShop →
Affiliate Disclosure: As an Amazon Associate, ToolBird earns from qualifying purchases. Links above are affiliate links — if you buy through them, we may earn a small commission at no extra cost to you.
Disclaimer: This tool is provided as-is for informational and educational purposes only.