Algebra
Calculus
Trigonometry
Matrix
Question
Function
Find the first partial derivative with respect to a
Find the first partial derivative with respect to b
∂a∂c=2ab2
Simplify
c=a2b2
Find the first partial derivative by treating the variable b as a constant and differentiating with respect to a
∂a∂c=∂a∂(a2b2)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
∂a∂c=b2×∂a∂(a2)
Use ∂x∂xn=nxn−1 to find derivative
∂a∂c=b2×2a
Solution
∂a∂c=2ab2
Show Solution
Solve the equation
Solve for a
Solve for b
a=∣b∣ca=−∣b∣c
Evaluate
c=a2b2
Rewrite the expression
c=b2a2
Swap the sides of the equation
b2a2=c
Divide both sides
b2b2a2=b2c
Divide the numbers
a2=b2c
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±b2c
Simplify the expression
More Steps
Evaluate
b2c
To take a root of a fraction,take the root of the numerator and denominator separately
b2c
Simplify the radical expression
∣b∣c
a=±∣b∣c
Solution
a=∣b∣ca=−∣b∣c
Show Solution