Algebra
Calculus
Trigonometry
Matrix
Question
Function
Find the first partial derivative with respect to x
Find the first partial derivative with respect to a
∂x∂y=12xa
Evaluate
y=x2×6a
Use the commutative property to reorder the terms
y=6x2a
Find the first partial derivative by treating the variable a as a constant and differentiating with respect to x
∂x∂y=∂x∂(6x2a)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
∂x∂y=6a×∂x∂(x2)
Use ∂x∂xn=nxn−1 to find derivative
∂x∂y=6a×2x
Solution
∂x∂y=12xa
Show Solution
Solve the equation
Solve for x
Solve for a
Solve for y
x=6∣a∣6yax=−6∣a∣6ya
Evaluate
y=x2×6a
Use the commutative property to reorder the terms
y=6x2a
Rewrite the expression
y=6ax2
Swap the sides of the equation
6ax2=y
Divide both sides
6a6ax2=6ay
Divide the numbers
x2=6ay
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±6ay
Simplify the expression
More Steps
Evaluate
6ay
Rewrite the expression
6a×6ay×6a
Use the commutative property to reorder the terms
6a×6a6ya
Calculate
36a26ya
To take a root of a fraction,take the root of the numerator and denominator separately
36a26ya
Simplify the radical expression
More Steps
Evaluate
36a2
Rewrite the expression
36×a2
Simplify the root
6∣a∣
6∣a∣6ya
x=±6∣a∣6ya
Solution
x=6∣a∣6yax=−6∣a∣6ya
Show Solution