Algebra
Calculus
Trigonometry
Matrix
Question
Function
Find the first partial derivative with respect to h
Find the first partial derivative with respect to o
∂h∂ψ=2ho
Simplify
ψ=h2o
Find the first partial derivative by treating the variable o as a constant and differentiating with respect to h
∂h∂ψ=∂h∂(h2o)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
∂h∂ψ=o×∂h∂(h2)
Use ∂x∂xn=nxn−1 to find derivative
∂h∂ψ=o×2h
Solution
∂h∂ψ=2ho
Show Solution
Solve the equation
Solve for h
Solve for o
h=∣o∣ψoh=−∣o∣ψo
Evaluate
ψ=h2o
Rewrite the expression
ψ=oh2
Swap the sides of the equation
oh2=ψ
Divide both sides
ooh2=oψ
Divide the numbers
h2=oψ
Take the root of both sides of the equation and remember to use both positive and negative roots
h=±oψ
Simplify the expression
More Steps
Evaluate
oψ
Rewrite the expression
o×oψo
Calculate
o2ψo
To take a root of a fraction,take the root of the numerator and denominator separately
o2ψo
Simplify the radical expression
∣o∣ψo
h=±∣o∣ψo
Solution
h=∣o∣ψoh=−∣o∣ψo
Show Solution