The derivative calculator calculates the derivative or partial derivative of a function f. Additional the calculator computes the gradient in 3d.
Input field for the function to be derived. With 'ok' the entered function is accepted. With ∂/∂... the corresponding derivatives can be formed. Multiple application leads in each case to the derivative of the predecessor function.
|sin(x)||Sine of x|
|cos(x)||Cosine of x|
|tan(x)||Tangent of x|
|acos(x)||arccosine of x|
|atan(x)||arctangent of x|
|atan2(y, x)||Returns the arctangent of the quotient of its arguments.|
|cosh(x)||Hyperbolic cosine of x|
|sinh(x)||Hyperbolic sine of x|
|pow(a, b)||Power ab|
|sqrt(x)||Square root of x|
|log(x), ln(x)||Natural logarithm|
|log(x, b)||Logarithm to base b|
|log2(x), lb(x)||Logarithm to base 2|
|log10(x), ld(x)||Logarithm to base 10|
Factor rule: A constant factor is preserved when differentiate
Sum rule: When deriving a sum, the summands can be derived individually
Product rule: Rule for deriving products
Quotient rule: Rule for deriving quotients
Chain rule: Nested functions go into a product of the inner and outer derivatives when differentiated
Derivative n-th root:
Derivation square root:
Derivation cube root:
Derivation of trigonometric functions:
Derivations of the e-function:
Derivation of the logarithm functions:
For functions with more than one variables the derivative to one of the variables is called partial derivative.
For a function with the variable x and several further variables the partial derivative to x is noted as follows.
For partial derivation, the other variables are treated as constants.