What is the derivative of 2x^4-5x^3+x^2 ?

The derivative of 2x^4-5x^3+x^2 is 8x^3-15x^2+2x

What is the first derivative of 2x^4-5x^3+x^2 ?

The first derivative of 2x^4-5x^3+x^2 is 8x^3-15x^2+2x

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\frac{d}{d x} (2 x^{4} - 5 x^{3} + x^{2})

8 x^{3} - 15 x^{2} + 2 x

Solution steps

\frac{d}{d x} (2 x^{4} - 5 x^{3} + x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{4}) - \frac{d}{d x} (5 x^{3}) + \frac{d}{d x} (x^{2})

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

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

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

= 8 x^{3} - 15 x^{2} + 2 x

\int_{- 1}^{2} 3 x^{2} + 4 x d x

\int - 4 x + 12 d x

y^{^{'}} = y^{2} x^{3}

3 x^{2} + 12, 4 x + 4, [- 3, 3]

\frac{1}{1 + x + x ^{2} + x ^{3}}

What is the derivative of 2x^4-5x^3+x^2 ?
The derivative of 2x^4-5x^3+x^2 is 8x^3-15x^2+2x
What is the first derivative of 2x^4-5x^3+x^2 ?
The first derivative of 2x^4-5x^3+x^2 is 8x^3-15x^2+2x