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Popular >

derivative of-5/(4y^3)

Solution

derivative of

- \frac{5}{4 y ^{3}}

Solution

\frac{15}{4 y ^{4}}

Solution steps

\frac{d}{d y} (- \frac{5}{4 y ^{3}})

Take the constant out:

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

= - \frac{5}{4} \frac{d}{d y} (\frac{1}{y ^{3}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= - \frac{5}{4} \frac{d}{d y} (y^{- 3})

Apply the Power Rule:

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

= - \frac{5}{4} (- 3 y^{- 3 - 1})

Simplify

- \frac{5}{4} (- 3 y^{- 3 - 1}) : \frac{15}{4 y ^{4}}

= \frac{15}{4 y ^{4}}

Popular Examples

derivative of cos(x^{-5})

\frac{d}{d x} (cos (x^{- 5}))

integral of (2sin(θ)-csc(θ))^2

\int (2 sin (θ) - csc (θ))^{2} d θ

derivative of y=(4x-5)2 derivative of

y = (4 x - 5) 2

(x + \frac{9}{x})^{^{'}}

integral of 7cot^4(5t)

\int 7 cot^{4} (5 t) d t

Frequently Asked Questions (FAQ)

What is the derivative of-5/(4y^3) ?
The derivative of-5/(4y^3) is (15)/(4y^4)
What is the first derivative of-5/(4y^3) ?
The first derivative of-5/(4y^3) is (15)/(4y^4)