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

The derivative of f(x)=2x^4-x^3+6x^2 is 8x^3-3x^2+12x

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

The first derivative of f(x)=2x^4-x^3+6x^2 is 8x^3-3x^2+12x

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derivative of

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2 x^{4}) = 8 x^{3}

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

\frac{d}{d x} (6 x^{2}) = 12 x

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

\frac{x ^{2}}{x - 2}

\int tan (m x) sec^{2} (m x) d x

x \to 3 lim (\frac{\frac{3}{x} - 1}{x - 3})

\int_{1}^{\infty} \frac{2}{x ^{3}} d x

2 y^{^{''}} + 4 y = 0

What is the derivative of f(x)=2x^4-x^3+6x^2 ?
The derivative of f(x)=2x^4-x^3+6x^2 is 8x^3-3x^2+12x
What is the first derivative of f(x)=2x^4-x^3+6x^2 ?
The first derivative of f(x)=2x^4-x^3+6x^2 is 8x^3-3x^2+12x