Online Derivative Calculator with Steps

Calculator solves the derivative of a function f(x, y(x)..) or the derivative of an implicit function, along with a display of the applied rules

Functions

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Input recognizes various synonyms for functions like asin, arsin, arcsin

Multiplication sign and parentheses are additionally placed — write2sinx similar2*sin(x)

List of math functions and constants:

•ln(x) — natural logarithm

•sin(x) — sine

•cos(x) — cosine

•tan(x) — tangent

•cot(x) — cotangent

•arcsin(x) — arcsine

•arccos(x) — arccosine

•arctan(x) — arctangent

•arccot(x) — arccotangent

•sinh(x) — hyperbolic sine

•cosh(x) — hyperbolic cosine

•tanh(x) — hyperbolic tangent

•coth(x) — hyperbolic cotangent

•sech(x) — hyperbolic secant

•csch(x) — hyperbolic cosecant

•arsinh(x) — inverse hyperbolic sine

•arcosh(x) — inverse hyperbolic cosine

•artanh(x) — inverse hyperbolic tangent

•arcoth(x) — inverse hyperbolic cotangent

•sec(x) — secant

•csc(x) — cosecant

•arcsec(x) — arcsecant

•arccsc(x) — arccosecant

•arsech(x) — inverse hyperbolic secant

•arcsch(x) — inverse hyperbolic cosecant

•abs(x) — module

•sqrt(x) — root

•exp(x) — exponent to power x

•sgn(x) — sign function

•y' — \(y'\)

•y'3 — \(y'''\)

•pow(a,b) — \(a^b\)

•sqrt7(x) — \(\sqrt[7]{x}\)

•sqrt(n,x) — \(\sqrt[n]{x}\)

•lg(x) — \(\log_{10}\left(x\right)\)

•log3(x) — \(\log_3\left(x\right)\)

•log(a,x) — \(\log_a\left(x\right)\)

•pi — \(\pi\)

alpha — \(\alpha\)

beta — \(\beta\)

•sigma — \(\sigma\)

gamma — \(\gamma\)

nu — \(\nu\)

•mu — \(\mu\)

phi — \(\phi\)

psi — \(\psi\)

•tau — \(\tau\)

eta — \(\eta\)

rho — \(\rho\)

•a123 — \(a_{123}\)

x_n — \(x_{n}\)

mu11 — \(\mu_{11}\)

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