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Popular >

derivative of 16x^3-96x^2+178x-95

Solution

\frac{d}{d x} (16 x^{3} - 96 x^{2} + 178 x - 95)

Solution

48 x^{2} - 192 x + 178

Solution steps

\frac{d}{d x} (16 x^{3} - 96 x^{2} + 178 x - 95)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (16 x^{3}) - \frac{d}{d x} (96 x^{2}) + \frac{d}{d x} (178 x) - \frac{d}{d x} (95)

\frac{d}{d x} (16 x^{3}) = 48 x^{2}

\frac{d}{d x} (96 x^{2}) = 192 x

\frac{d}{d x} (178 x) = 178

\frac{d}{d x} (95) = 0

= 48 x^{2} - 192 x + 178 - 0

Simplify

= 48 x^{2} - 192 x + 178

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\int \frac{1}{x ^{2} - 49} d x

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x \to 2 - lim (x^{2} - 3)

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\frac{d}{d x} (- \frac{6}{1 - 6 x})

y^{^{'}} \frac{1}{x} y = 0

Frequently Asked Questions (FAQ)

What is the derivative of 16x^3-96x^2+178x-95 ?
The derivative of 16x^3-96x^2+178x-95 is 48x^2-192x+178
What is the first derivative of 16x^3-96x^2+178x-95 ?
The first derivative of 16x^3-96x^2+178x-95 is 48x^2-192x+178