What is the derivative of sqrt(160x^{3a-2)} ?

The derivative of sqrt(160x^{3a-2)} is (2sqrt(10)x^{3a-3}(3a-2))/(sqrt(x^{3a-2))}

What is the first derivative of sqrt(160x^{3a-2)} ?

The first derivative of sqrt(160x^{3a-2)} is (2sqrt(10)x^{3a-3}(3a-2))/(sqrt(x^{3a-2))}

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Popular >

\frac{d}{d x} (160 x^{3 a - 2})

\frac{2 10 x ^{3 a - 3} ( 3 a - 2 )}{x ^{3 a - 2}}

Solution steps

\frac{d}{d x} (160 x^{3 a - 2})

Apply the chain rule:

\frac{1}{2 160 x ^{3 a - 2}} \frac{d}{d x} (160 x^{3 a - 2})

= \frac{1}{2 160 x ^{3 a - 2}} \frac{d}{d x} (160 x^{3 a - 2})

\frac{d}{d x} (160 x^{3 a - 2}) = 160 x^{3 a - 3} (3 a - 2)

= \frac{1}{2 160 x ^{3 a - 2}} \cdot 160 x^{3 a - 3} (3 a - 2)

Simplify

\frac{1}{2 160 x ^{3 a - 2}} \cdot 160 x^{3 a - 3} (3 a - 2) : \frac{2 10 x ^{3 a - 3} ( 3 a - 2 )}{x ^{3 a - 2}}

= \frac{2 10 x ^{3 a - 3} ( 3 a - 2 )}{x ^{3 a - 2}}

(2 x^{a + 3}) (2 x^{a})

- e^{- \frac{18}{5}}

149.6 \cdot 2.83 \cdot 1 0^{- 3}

4.6564 \cdot 1 0^{- 1}

131.38 e^{- 0.434 (0.7)}

What is the derivative of sqrt(160x^{3a-2)} ?
The derivative of sqrt(160x^{3a-2)} is (2sqrt(10)x^{3a-3}(3a-2))/(sqrt(x^{3a-2))}
What is the first derivative of sqrt(160x^{3a-2)} ?
The first derivative of sqrt(160x^{3a-2)} is (2sqrt(10)x^{3a-3}(3a-2))/(sqrt(x^{3a-2))}