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Question
p=2l\times 2w
Function
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\text{Find the first partial derivative with respect to }l
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\text{Find the first partial derivative with respect to }w
\frac{\partial p}{\partial l}=4w
Evaluate
p=2l\times 2w
Multiply the terms
p=4lw
\text{Find the first partial derivative by treating the variable }w\text{ as a constant and differentiating with respect to }l
\frac{\partial p}{\partial l}=\frac{\partial}{\partial l}\left(4lw\right)
\text{Use differentiation rule }\frac{\partial}{\partial x}\left(cf\left(x\right)\right)=c\times\frac{\partial}{\partial x}(f(x))
\frac{\partial p}{\partial l}=4w\times \frac{\partial}{\partial l}\left(l\right)
\text{Use }\frac{\partial}{\partial x} x^{n}=n x^{n-1}\text{ to find derivative}
\frac{\partial p}{\partial l}=4w\times 1
Solution
\frac{\partial p}{\partial l}=4w
Show Solutions
Solve the equation
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\text{Solve for }l
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\text{Solve for }p
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\text{Solve for }w
l=\frac{p}{4w}
Evaluate
p=2l\times 2w
Multiply the terms
p=4lw
Rewrite the expression
p=4wl
Swap the sides of the equation
4wl=p
Divide both sides
\frac{4wl}{4w}=\frac{p}{4w}
Solution
l=\frac{p}{4w}
Show Solutions
