What is the derivative of y=(x^7+1)/x ?

The derivative of y=(x^7+1)/x is (6x^7-1)/(x^2)

What is the first derivative of y=(x^7+1)/x ?

The first derivative of y=(x^7+1)/x is (6x^7-1)/(x^2)

Popular >

derivative of

y = \frac{x ^{7} + 1}{x}

\frac{6 x ^{7} - 1}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{x ^{7} + 1}{x})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( x ^{7} + 1 ) x - \frac{d x}{d x} ( x ^{7} + 1 )}{x ^{2}}

\frac{d}{d x} (x^{7} + 1) = 7 x^{6}

\frac{d x}{d x} = 1

= \frac{7 x ^{6} x - 1 \cdot ( x ^{7} + 1 )}{x ^{2}}

Simplify

\frac{7 x ^{6} x - 1 \cdot ( x ^{7} + 1 )}{x ^{2}} : \frac{6 x ^{7} - 1}{x ^{2}}

= \frac{6 x ^{7} - 1}{x ^{2}}

- (e^{- x})^{2}

lo g_{10} (x - 1)

sin (x^{2} + 5)

\frac{d}{d s} (3 s^{2})

y = \frac{( x ^{5} + x ^{2} )}{( x ^{3} + 1 )}

What is the derivative of y=(x^7+1)/x ?
The derivative of y=(x^7+1)/x is (6x^7-1)/(x^2)
What is the first derivative of y=(x^7+1)/x ?
The first derivative of y=(x^7+1)/x is (6x^7-1)/(x^2)