What is the derivative of (8x^7)/(5y^4) ?

The derivative of (8x^7)/(5y^4) is (56x^6)/(5y^4)

What is the first derivative of (8x^7)/(5y^4) ?

The first derivative of (8x^7)/(5y^4) is (56x^6)/(5y^4)

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derivative of

\frac{8 x ^{7}}{5 y ^{4}}

\frac{56 x ^{6}}{5 y ^{4}}

Solution steps

\frac{d}{d x} (\frac{8 x ^{7}}{5 y ^{4}})

Treat

y

as a constant

Take the constant out:

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

= \frac{8}{5 y ^{4}} \frac{d}{d x} (x^{7})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{8}{5 y ^{4}} \cdot 7 x^{7 - 1}

Simplify

\frac{8}{5 y ^{4}} \cdot 7 x^{7 - 1} : \frac{56 x ^{6}}{5 y ^{4}}

= \frac{56 x ^{6}}{5 y ^{4}}

\frac{1}{s \cdot ( s + 1 ) ^{2}}

9^{x}

\int \frac{sin ^{2} ( θ )}{cos ( θ )} d θ

x \to 5 lim (x^{2} + 24)

\int sin (7 x) \cdot cos (3 x) d x

What is the derivative of (8x^7)/(5y^4) ?
The derivative of (8x^7)/(5y^4) is (56x^6)/(5y^4)
What is the first derivative of (8x^7)/(5y^4) ?
The first derivative of (8x^7)/(5y^4) is (56x^6)/(5y^4)