What is the derivative of (3w^6-w)/w ?

The derivative of (3w^6-w)/w is 15w^4

What is the first derivative of (3w^6-w)/w ?

The first derivative of (3w^6-w)/w is 15w^4

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derivative of

\frac{3 w ^{6} - w}{w}

15 w^{4}

Solution steps

\frac{d}{d w} (\frac{3 w ^{6} - w}{w})

Simplify

\frac{3 w ^{6} - w}{w} : 3 w^{5} - 1

= \frac{d}{d w} (3 w^{5} - 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d w} (3 w^{5}) - \frac{d}{d w} (1)

\frac{d}{d w} (3 w^{5}) = 15 w^{4}

\frac{d}{d w} (1) = 0

= 15 w^{4} - 0

Simplify

= 15 w^{4}

(\frac{1}{( 4 - x ) ^{2}})^{^{'}}

\int (\frac{sec ( x )}{1 + tan ( x )})^{2} d x

\int 5 x^{4} d x

\frac{d}{d x} (e^{x s i n (3 x)})

\int_{0}^{5} \frac{2 t}{( t - 6 ) ^{2}} d t

What is the derivative of (3w^6-w)/w ?
The derivative of (3w^6-w)/w is 15w^4
What is the first derivative of (3w^6-w)/w ?
The first derivative of (3w^6-w)/w is 15w^4