Algebra
Calculus
Trigonometry
Matrix
Question
Function
Find the first partial derivative with respect to d
Find the first partial derivative with respect to c
∂d∂l=c3
Evaluate
1×l=1×dc3
Simplify
l=dc3
Find the first partial derivative by treating the variable c as a constant and differentiating with respect to d
∂d∂l=∂d∂(dc3)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
∂d∂l=c3×∂d∂(d)
Use ∂x∂xn=nxn−1 to find derivative
∂d∂l=c3×1
Solution
∂d∂l=c3
Show Solution
Solve the equation
Solve for c
Solve for d
Solve for l
c=d3d2l
Evaluate
1×l=1×dc3
Simplify
l=dc3
Swap the sides of the equation
dc3=l
Divide both sides
ddc3=dl
Divide the numbers
c3=dl
Take the 3-th root on both sides of the equation
3c3=3dl
Calculate
c=3dl
Solution
More Steps
Evaluate
3dl
To take a root of a fraction,take the root of the numerator and denominator separately
3d3l
Multiply by the Conjugate
3d×3d23l×3d2
Calculate
d3l×3d2
The product of roots with the same index is equal to the root of the product
d3ld2
Calculate
d3d2l
c=d3d2l
Show Solution