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Popular >

derivative of (0.1x^2-4.2x+6.5)^{1.5}

Solution

derivative of

(0.1 x^{2} - 4.2 x + 6.5)^{1.5}

Solution

1.5 0.1 x^{2} - 4.2 x + 6.5 (0.2 x - 4.2)

Solution steps

\frac{d}{d x} ((0.1 x^{2} - 4.2 x + 6.5)^{1.5})

Apply the chain rule:

1.5 0.1 x^{2} - 4.2 x + 6.5 \frac{d}{d x} (0.1 x^{2} - 4.2 x + 6.5)

= 1.5 0.1 x^{2} - 4.2 x + 6.5 \frac{d}{d x} (0.1 x^{2} - 4.2 x + 6.5)

\frac{d}{d x} (0.1 x^{2} - 4.2 x + 6.5) = 0.2 x - 4.2

= 1.5 0.1 x^{2} - 4.2 x + 6.5 (0.2 x - 4.2)

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Frequently Asked Questions (FAQ)

What is the derivative of (0.1x^2-4.2x+6.5)^{1.5} ?
The derivative of (0.1x^2-4.2x+6.5)^{1.5} is 1.5sqrt(0.1x^2-4.2x+6.5)(0.2x-4.2)
What is the first derivative of (0.1x^2-4.2x+6.5)^{1.5} ?
The first derivative of (0.1x^2-4.2x+6.5)^{1.5} is 1.5sqrt(0.1x^2-4.2x+6.5)(0.2x-4.2)