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Popular >

derivative of y=x^3-14x^2+32x+4

Solution

derivative of

y = x^{3} - 14 x^{2} + 32 x + 4

Solution

3 x^{2} - 28 x + 32

Solution steps

\frac{d}{d x} (x^{3} - 14 x^{2} + 32 x + 4)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (14 x^{2}) + \frac{d}{d x} (32 x) + \frac{d}{d x} (4)

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

\frac{d}{d x} (14 x^{2}) = 28 x

\frac{d}{d x} (32 x) = 32

\frac{d}{d x} (4) = 0

= 3 x^{2} - 28 x + 32 + 0

Simplify

= 3 x^{2} - 28 x + 32

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y^{''}-2y^'+2y=2x-2,y(0)=0,y(pi)=pi

y^{^{''}} - 2 y^{^{'}} + 2 y = 2 x - 2, y (0) = 0, y (π) = π

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Frequently Asked Questions (FAQ)

What is the derivative of y=x^3-14x^2+32x+4 ?
The derivative of y=x^3-14x^2+32x+4 is 3x^2-28x+32
What is the first derivative of y=x^3-14x^2+32x+4 ?
The first derivative of y=x^3-14x^2+32x+4 is 3x^2-28x+32