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Popular >

derivative of f(x)=(x^2+4x)/5

Solution

derivative of

f (x) = \frac{x ^{2} + 4 x}{5}

Solution

\frac{1}{5} (2 x + 4)

Solution steps

\frac{d}{d x} (\frac{x ^{2} + 4 x}{5})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{5} \frac{d}{d x} (x^{2} + 4 x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{1}{5} (\frac{d}{d x} (x^{2}) + \frac{d}{d x} (4 x))

\frac{d}{d x} (x^{2}) = 2 x

\frac{d}{d x} (4 x) = 4

= \frac{1}{5} (2 x + 4)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(x^2+4x)/5 ?
The derivative of f(x)=(x^2+4x)/5 is 1/5 (2x+4)
What is the first derivative of f(x)=(x^2+4x)/5 ?
The first derivative of f(x)=(x^2+4x)/5 is 1/5 (2x+4)