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Popular >

derivative of y=x^3-7x^2+8x+1

Solution

derivative of

y = x^{3} - 7 x^{2} + 8 x + 1

Solution

3 x^{2} - 14 x + 8

Solution steps

\frac{d}{d x} (x^{3} - 7 x^{2} + 8 x + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (7 x^{2}) + \frac{d}{d x} (8 x) + \frac{d}{d x} (1)

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

\frac{d}{d x} (7 x^{2}) = 14 x

\frac{d}{d x} (8 x) = 8

\frac{d}{d x} (1) = 0

= 3 x^{2} - 14 x + 8 + 0

Simplify

= 3 x^{2} - 14 x + 8

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x \to 1 lim (\frac{x + 4}{1 + x ^{2}})

integral of xsqrt(x^2+4)

\int x x^{2} + 4 d x

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x \to 0 lim (\frac{( a ^{x} - b ^{x} )}{x})

Frequently Asked Questions (FAQ)

What is the derivative of y=x^3-7x^2+8x+1 ?
The derivative of y=x^3-7x^2+8x+1 is 3x^2-14x+8
What is the first derivative of y=x^3-7x^2+8x+1 ?
The first derivative of y=x^3-7x^2+8x+1 is 3x^2-14x+8