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
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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) — \(\sqrt[n]{x}\)

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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Calculating..
C =
x=0, y=0
f(x) —
f'(x) —
Graphs
\((f(x))'=f'(x)\)
Values
\(x =\)
\(f(x) =\)
\(f'(x) =\)
Scaling
1:1
y
t
u
³
³√
⁴√
cos
tan
cot
log₂
log₁₀
asin
sinh
asinh
acos
cosh
acosh
atan
tanh
atanh
acot
coth
acoth
asec
sech
asech
acsc
csch
acsch
sqrt3
sqrt4
sqrt5
sqrt6
log₂
log₃
log₁₀
x
(
)
7
8
9
÷
²
=
4
5
6
×
e
π
'
1
2
3
+
sin
ln
.
0
^
abc
f(x)
¹²+−
=
sin
cos
tan
cot
𝜋
𝛼
𝛽
sec
csc
𝜎
𝛾
𝜈
sqrt
pow
exp
abs
𝜇
𝜙
𝜓
ln
sgn
,
𝜏
𝜂
𝜌
abc
f(x)
¹²+−
=
q
w
e
r
t
y
u
i
o
p
a
s
d
f
g
h
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n
m
abc
f(x)
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=