Partial derivatives
Task number: 3196
Calculate the partial derivative (with respect to all variables) of the following functions:
Variant 1
\(x^2 + 4xy^3 + y^5\)
Variant 2
\(x^{y^2}\)
Variant 3
\((1 + x)^k(1 + y)^\ell(1 + z)^m\), where \(k, l, m\) are parameters.
Variant 4
\(\ln(1+x)\ln(1+ y)\)
Variant 5
\((1 + x)^{(1 + y)}\)
