Algebra
Calculus
Trigonometry
Matrix
Question
Function
Find the first partial derivative with respect to v
Find the first partial derivative with respect to w
∂v∂a=21w
Simplify
a=21vw
Find the first partial derivative by treating the variable w as a constant and differentiating with respect to v
∂v∂a=∂v∂(21vw)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
∂v∂a=21w×∂v∂(v)
Use ∂x∂xn=nxn−1 to find derivative
∂v∂a=21w×1
Solution
∂v∂a=21w
Show Solution
Solve the equation
Solve for v
Solve for w
v=w2a
Evaluate
a=21vw
Rewrite the expression
a=21wv
Swap the sides of the equation
21wv=a
Divide both sides
21w21wv=21wa
Divide the numbers
v=21wa
Solution
More Steps
Evaluate
21wa
Multiply by the reciprocal
a×w2
Multiply the numbers
wa×2
Multiply the numbers
w2a
v=w2a
Show Solution