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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 rules used to calculate the derivative, including constant, sum, difference, constant multiple, product, power, reciprocal, quotient, and chain rules
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Input recognizes various synonyms for functions like asin, arsin, arcsin, sin^-1

Multiplication sign and brackets are additionally placed - entry2sinx is similar to2*sin(x)

List of mathematical 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

|x|,abs(x)modulus

sqrt(x),root(x)square root

exp(x)e to the power x

sgn(x)sign function

y' — \(y'\)

y'3 — \(y'''\)

conj(z)\(\overline{z}\)

a+b — \(a+b\)

a-b — \(a-b\)

a*b — \(a\cdot b\)

a/b — \(\dfrac{a}{b}\)

a^b,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) — \(\log_a\left(x\right)\)

ln^2(x),ln(x)^2 — \(\ln^2\left(x\right)\)

y''',y'3 — \(y'''\)

d^2y/dx^2,d2y/dx2 — \(\dfrac{\mathrm{d}^2y}{\mathrm{d}x^2}\)

lambda — \(\lambda\)

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 — \(\mu_{11}\)
<= — \(\leq\)
>= — \(\geq\)
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C =
x=0, y=0
f(x) —
f'(x) —
Display
\((f(x))'=f'(x)\)
Values
\(x =\)
\(f(x) =\)
\(f'(x) =\)
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