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Popular >

derivative of (3.3x+5)^{0.37}

Solution

derivative of

(3.3 x + 5)^{0.37}

Solution

\frac{1.221}{( 3.3 x + 5 ) ^{0.63}}

Solution steps

\frac{d}{d x} ((3.3 x + 5)^{0.37})

Apply the chain rule:

\frac{0.37}{( 3.3 x + 5 ) ^{0.63}} \frac{d}{d x} (3.3 x + 5)

= \frac{0.37}{( 3.3 x + 5 ) ^{0.63}} \frac{d}{d x} (3.3 x + 5)

\frac{d}{d x} (3.3 x + 5) = 3.3

= \frac{0.37}{( 3.3 x + 5 ) ^{0.63}} \cdot 3.3

Simplify

\frac{0.37}{( 3.3 x + 5 ) ^{0.63}} \cdot 3.3 : \frac{1.221}{( 3.3 x + 5 ) ^{0.63}}

= \frac{1.221}{( 3.3 x + 5 ) ^{0.63}}

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Frequently Asked Questions (FAQ)

What is the derivative of (3.3x+5)^{0.37} ?
The derivative of (3.3x+5)^{0.37} is (1.221)/((3.3x+5)^{0.63)}
What is the first derivative of (3.3x+5)^{0.37} ?
The first derivative of (3.3x+5)^{0.37} is (1.221)/((3.3x+5)^{0.63)}