What is the derivative of (7w^{10}-11w^7)/(8w^7) ?

The derivative of (7w^{10}-11w^7)/(8w^7) is (21w^2)/8

What is the first derivative of (7w^{10}-11w^7)/(8w^7) ?

The first derivative of (7w^{10}-11w^7)/(8w^7) is (21w^2)/8

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derivative of

\frac{7 w ^{10} - 11 w ^{7}}{8 w ^{7}}

\frac{21 w ^{2}}{8}

Solution steps

\frac{d}{d w} (\frac{7 w ^{10} - 11 w ^{7}}{8 w ^{7}})

Take the constant out:

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

= \frac{1}{8} \frac{d}{d w} (\frac{7 w ^{10} - 11 w ^{7}}{w ^{7}})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{1}{8} \cdot \frac{\frac{d}{d w} ( 7 w ^{10} - 11 w ^{7} ) w ^{7} - \frac{d}{d w} ( w ^{7} ) ( 7 w ^{10} - 11 w ^{7} )}{( w ^{7} ) ^{2}}

\frac{d}{d w} (7 w^{10} - 11 w^{7}) = 70 w^{9} - 77 w^{6}

\frac{d}{d w} (w^{7}) = 7 w^{6}

= \frac{1}{8} \cdot \frac{( 70 w ^{9} - 77 w ^{6} ) w ^{7} - 7 w ^{6} ( 7 w ^{10} - 11 w ^{7} )}{( w ^{7} ) ^{2}}

Simplify

\frac{1}{8} \cdot \frac{( 70 w ^{9} - 77 w ^{6} ) w ^{7} - 7 w ^{6} ( 7 w ^{10} - 11 w ^{7} )}{( w ^{7} ) ^{2}} : \frac{21 w ^{2}}{8}

= \frac{21 w ^{2}}{8}

\int 19 arctan (x) d x

x \to - 2 + lim (- 3 x^{2} + 2)

x^{x}

f (x) = \frac{( e ^{x} )}{x}, at x = 1

(t^{3} e^{-, at})

What is the derivative of (7w^{10}-11w^7)/(8w^7) ?
The derivative of (7w^{10}-11w^7)/(8w^7) is (21w^2)/8
What is the first derivative of (7w^{10}-11w^7)/(8w^7) ?
The first derivative of (7w^{10}-11w^7)/(8w^7) is (21w^2)/8