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Popular >

derivative of x^3-8x^2+19x-12

Solution

derivative of

x^{3} - 8 x^{2} + 19 x - 12

Solution

3 x^{2} - 16 x + 19

Solution steps

\frac{d}{d x} (x^{3} - 8 x^{2} + 19 x - 12)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (8 x^{2}) + \frac{d}{d x} (19 x) - \frac{d}{d x} (12)

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

\frac{d}{d x} (8 x^{2}) = 16 x

\frac{d}{d x} (19 x) = 19

\frac{d}{d x} (12) = 0

= 3 x^{2} - 16 x + 19 - 0

Simplify

= 3 x^{2} - 16 x + 19

Popular Examples

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\int_{5}^{10} (3 x + 3) d x

(\partial)/(\partial y)(x^3-y^2+2xy)

\frac{\partial}{\partial y} (x^{3} - y^{2} + 2 x y)

derivative of f(x)=(x^2)/(3+sqrt(x))derivative of

f (x) = \frac{x ^{2}}{3 + x}

(dy)/(dx)=sqrt(8y)e^{x+2}

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integral of 1/(t^3+t^2-2t)

\int \frac{1}{t ^{3} + t ^{2} - 2 t} d t

Frequently Asked Questions (FAQ)

What is the derivative of x^3-8x^2+19x-12 ?
The derivative of x^3-8x^2+19x-12 is 3x^2-16x+19
What is the first derivative of x^3-8x^2+19x-12 ?
The first derivative of x^3-8x^2+19x-12 is 3x^2-16x+19