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Popular Calculus >

derivative of x^4-3x^2+5x+2

Solution

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

Solution

4 x^{3} - 6 x + 5

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (5 x) = 5

\frac{d}{d x} (2) = 0

= 4 x^{3} - 6 x + 5 + 0

Simplify

= 4 x^{3} - 6 x + 5

Graph

Popular Examples

limit as x approaches infinity of-3+4/x

x \to \infty lim (- 3 + \frac{4}{x})

derivative of sec(x)

\frac{d}{d x} (sec (x))

y^{''}-4y^'+8y=-28cos(2t)-16sin(2t)

y^{^{''}} - 4 y^{^{'}} + 8 y = - 28 cos (2 t) - 16 sin (2 t)

integral of 1/((x^2+x))

\int \frac{1}{( x ^{2} + x )} d x

limit as x approaches infinity of x^5

x \to \infty lim (x^{5})

Frequently Asked Questions (FAQ)

What is the derivative of x^4-3x^2+5x+2 ?
The derivative of x^4-3x^2+5x+2 is 4x^3-6x+5
What is the first derivative of x^4-3x^2+5x+2 ?
The first derivative of x^4-3x^2+5x+2 is 4x^3-6x+5