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Popular >

derivative of f(x)=x^3-2x^2-4x-6

Solution

derivative of

f (x) = x^{3} - 2 x^{2} - 4 x - 6

Solution

3 x^{2} - 4 x - 4

Solution steps

\frac{d}{d x} (x^{3} - 2 x^{2} - 4 x - 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (2 x^{2}) - \frac{d}{d x} (4 x) - \frac{d}{d x} (6)

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

\frac{d}{d x} (2 x^{2}) = 4 x

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

\frac{d}{d x} (6) = 0

= 3 x^{2} - 4 x - 4 - 0

Simplify

= 3 x^{2} - 4 x - 4

Popular Examples

integral of (2x+5)e^{2x+5}

\int (2 x + 5) e^{2 x + 5} d x

derivative of-9/2 x^2+3x+3 derivative of

- \frac{9}{2} x^{2} + 3 x + 3

derivative of (x^2+3/(x^2+5))

\frac{d}{d x} (\frac{x ^{2} + 3}{x ^{2} + 5})

integral of cos^3(xsi)n^2x

\int cos^{3} (x s i) n^{2} x d x

(\partial)/(\partial x)(sqrt(-3*x^2)+28)

\frac{\partial}{\partial x} (- 3 \cdot x^{2} + 28)

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=x^3-2x^2-4x-6 ?
The derivative of f(x)=x^3-2x^2-4x-6 is 3x^2-4x-4
What is the first derivative of f(x)=x^3-2x^2-4x-6 ?
The first derivative of f(x)=x^3-2x^2-4x-6 is 3x^2-4x-4