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=−sin(1)×y
Evaluate
f(x,y)=sin(−1)×xy
Simplify
More Steps
Evaluate
sin(−1)×xy
Use sin(−t)=−sin(t) to transform the expression
−sin(1)×xy
Rewrite the expression
−sin(1)×yx
f(x,y)=−sin(1)×yx
Find the first partial derivative by treating the variable y as a constant and differentiating with respect to x
fx=∂x∂(−sin(1)×yx)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
fx=−sin(1)×y×∂x∂(x)
Use ∂x∂xn=nxn−1 to find derivative
fx=−sin(1)×y×1
Solution
fx=−sin(1)×y
Show Solution
