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Popular >

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

Solution

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

Solution

3 x^{2} + 2 x + 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} (5) = 0

= 3 x^{2} + 2 x + 1 + 0

Simplify

= 3 x^{2} + 2 x + 1

Popular Examples

integral of sqrt(x^7)sin(1+x^{9/2})

\int x^{7} sin (1 + x^{\frac{9}{2}}) d x

limit as x approaches 3 of 7/((x-3)^2)

x \to 3 lim (\frac{7}{( x - 3 ) ^{2}})

tangent of f(x)=(x^2)/(x+6)tangent of

f (x) = \frac{x ^{2}}{x + 6}

limit as x approaches-infinity of 2^x+3

x \to - \infty lim (2^{x} + 3)

y^{''}-y^'+1/4 y=5+e^{x/2}

y^{^{''}} - y^{^{'}} + \frac{1}{4} y = 5 + e^{\frac{x}{2}}

Frequently Asked Questions (FAQ)

What is the derivative of x^3+x^2+x+5 ?
The derivative of x^3+x^2+x+5 is 3x^2+2x+1
What is the first derivative of x^3+x^2+x+5 ?
The first derivative of x^3+x^2+x+5 is 3x^2+2x+1