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Derivative Calculator with Steps

Online derivative calculator with step-by-step solutions and graphs. Find derivatives of explicit and implicit functions. Supports the chain rule, product rule, quotient rule, power rule, and more. Scan problems from images.
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The input recognizes synonyms for functions, such asasin, arsin, arcsin, sin^-1

Multiplication signs and parentheses are automatically added, for example2sinxbecomes2*sin(x)

Supported 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) — absolute value

•sqrt(x), root(x) — square root

•exp(x) — exp(x)

•sgn(x) — sign function

•y' — first derivative

•y'3 — y'''

•a+b — a + b

•a-b — a - b

•a*b — a * b

•a/b — a / b

•a^b, a**b — a ^ b

•sqrt7(x) — sqrt[7](x)

•sqrt(n,x) — sqrt[n](x)

•lg(x) — log_10(x)

•log3(x) — log_3(x)

•log(a,x) — log_a(x)

•ln^2(x), ln(x)^2 — ln^2 x

•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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Find the 2nd derivative
Original function
Calculated derivative
Step-by-step solution
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Product rule
Table
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Calculated derivative
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(f(x))' = f'(x)
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