Algebra
Calculus
Trigonometry
Matrix
Question
Function
Find the first partial derivative with respect to f
Find the first partial derivative with respect to d
∂f∂r=d2
Simplify
r=fd2
Find the first partial derivative by treating the variable d as a constant and differentiating with respect to f
∂f∂r=∂f∂(fd2)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
∂f∂r=d2×∂f∂(f)
Use ∂x∂xn=nxn−1 to find derivative
∂f∂r=d2×1
Solution
∂f∂r=d2
Show Solution
Solve the equation
Solve for d
Solve for f
Solve for r
d=∣f∣frd=−∣f∣fr
Evaluate
r=fd2
Swap the sides of the equation
fd2=r
Divide both sides
ffd2=fr
Divide the numbers
d2=fr
Take the root of both sides of the equation and remember to use both positive and negative roots
d=±fr
Simplify the expression
More Steps
Evaluate
fr
Rewrite the expression
f×frf
Use the commutative property to reorder the terms
f×ffr
Calculate
f2fr
To take a root of a fraction,take the root of the numerator and denominator separately
f2fr
Simplify the radical expression
∣f∣fr
d=±∣f∣fr
Solution
d=∣f∣frd=−∣f∣fr
Show Solution