Partial Derivative calculator is a very useful tool for evaluating the partial derivative of different functions.
This tool uses partial derivative rules and formulas. One need to substitute the values only and it helps in
finding the result will automatically come out.
This tool is very effective and also helps in finding the solutions of typical problems even involving higher
exponents. It also helps in evaluating the partial derivative of trigonometric functions involving different
variables. This can be understood and easily evaluated by the following given below examples:-
Example 1:-
Find the partial derivative of the below mentioned function:-
a) y2.x3
Solution 1:-
Now here we have to find the ∂/∂x f(x).
Here, f (x) = y2.x3
Therefore,
∂/∂x f(x) = ∂/∂x (y2.x3)
= y2 (3x2)
= 3 y2 x2 (because ∂/∂x (xn) = nxn-1).
Example 2:-
Find the partial derivative of the below mentioned function x2+x+1
Solution 2:-
Let f (x) = x2+x+1
Now here we have to find the partial derivative of f(x).
Here, f (x) = x2+x+1.
Therefore,
∂/∂x f(x) = ∂/∂x (x2+x+1)
= ∂/∂x (x2) + ∂/∂x (x) + ∂/∂x (1)
= 2x + 1 + 0 (because differentiation of
Constant is zero).
= 2x +1.