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Popular >

derivative of ((3-5x^6)/(10))

Solution

\frac{d}{d x} (\frac{( 3 - 5 x ) ^{6}}{10})

Solution

- 3 (- 5 x + 3)^{5}

Solution steps

\frac{d}{d x} (\frac{( 3 - 5 x ) ^{6}}{10})

Take the constant out:

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

= \frac{1}{10} \frac{d}{d x} ((3 - 5 x)^{6})

Apply the chain rule:

6 (3 - 5 x)^{5} \frac{d}{d x} (3 - 5 x)

= 6 (3 - 5 x)^{5} \frac{d}{d x} (3 - 5 x)

\frac{d}{d x} (3 - 5 x) = - 5

= \frac{1}{10} \cdot 6 (3 - 5 x)^{5} (- 5)

Simplify

\frac{1}{10} \cdot 6 (3 - 5 x)^{5} (- 5) : - 3 (- 5 x + 3)^{5}

= - 3 (- 5 x + 3)^{5}

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Frequently Asked Questions (FAQ)

What is the derivative of ((3-5x^6)/(10)) ?
The derivative of ((3-5x^6)/(10)) is -3(-5x+3)^5
What is the first derivative of ((3-5x^6)/(10)) ?
The first derivative of ((3-5x^6)/(10)) is -3(-5x+3)^5