Algebra
Calculus
Trigonometry
Matrix
Question
Function
Find the first partial derivative with respect to x
Find the first partial derivative with respect to y
fx=y
Simplify
f(x,y)=xy
Find the first partial derivative by treating the variable y as a constant and differentiating with respect to x
fx=∂x∂(xy)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
fx=y×∂x∂(x)
Use ∂x∂xn=nxn−1 to find derivative
fx=y×1
Solution
fx=y
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