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Popular >

derivative of y=sqrt(x(x+11))

Solution

derivative of

y = x (x + 11)

Solution

\frac{2 x + 11}{2 x ( x + 11 )}

Solution steps

\frac{d}{d x} (x (x + 11))

Apply the chain rule:

\frac{1}{2 x ( x + 11 )} \frac{d}{d x} (x (x + 11))

= \frac{1}{2 x ( x + 11 )} \frac{d}{d x} (x (x + 11))

\frac{d}{d x} (x (x + 11)) = 2 x + 11

= \frac{1}{2 x ( x + 11 )} (2 x + 11)

Simplify

\frac{1}{2 x ( x + 11 )} (2 x + 11) : \frac{2 x + 11}{2 x ( x + 11 )}

= \frac{2 x + 11}{2 x ( x + 11 )}

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(\partial)/(\partial x)((F(c,x,b)*cos(c))/(x*b))

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Frequently Asked Questions (FAQ)

What is the derivative of y=sqrt(x(x+11)) ?
The derivative of y=sqrt(x(x+11)) is (2x+11)/(2sqrt(x(x+11)))
What is the first derivative of y=sqrt(x(x+11)) ?
The first derivative of y=sqrt(x(x+11)) is (2x+11)/(2sqrt(x(x+11)))