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Popular >

derivative of f(x)=sqrt(3)(x^3-x^2)

Solution

derivative of

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

Solution

3 (3 x^{2} - 2 x)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

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

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

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

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

= 3 (3 x^{2} - 2 x)

Popular Examples

integral of (ln(x^3))

\int (ln (x^{3})) d x

integral of 1/(2x-2)

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

integral of 2cos^2(4x)sin(4x)

\int 2 cos^{2} (4 x) sin (4 x) d x

(\partial)/(\partial x)((x^2+y^2+z^2)^{1/2})

\frac{\partial}{\partial x} ((x^{2} + y^{2} + z^{2})^{\frac{1}{2}})

limit as x approaches infinity of sec(x)

x \to \infty lim (sec (x))

Frequently Asked Questions (FAQ)

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