Algebra
Calculus
Trigonometry
Matrix
Question
Function
Find the first partial derivative with respect to a
Find the first partial derivative with respect to r
∂a∂s=2ar2
Simplify
s=a2r2
Find the first partial derivative by treating the variable r as a constant and differentiating with respect to a
∂a∂s=∂a∂(a2r2)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
∂a∂s=r2×∂a∂(a2)
Use ∂x∂xn=nxn−1 to find derivative
∂a∂s=r2×2a
Solution
∂a∂s=2ar2
Show Solution
Solve the equation
Solve for a
Solve for r
a=∣r∣sa=−∣r∣s
Evaluate
s=a2r2
Rewrite the expression
s=r2a2
Swap the sides of the equation
r2a2=s
Divide both sides
r2r2a2=r2s
Divide the numbers
a2=r2s
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±r2s
Simplify the expression
More Steps
Evaluate
r2s
To take a root of a fraction,take the root of the numerator and denominator separately
r2s
Simplify the radical expression
∣r∣s
a=±∣r∣s
Solution
a=∣r∣sa=−∣r∣s
Show Solution