What is the derivative of f(x)=x^3+x^2+x+5 ?

The derivative of f(x)=x^3+x^2+x+5 is 3x^2+2x+1

What is the first derivative of f(x)=x^3+x^2+x+5 ?

The first derivative of f(x)=x^3+x^2+x+5 is 3x^2+2x+1

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derivative of

f (x) = x^{3} + x^{2} + x + 5

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

x \to 0 - lim (\frac{1}{1 - 2 ^{\frac{1}{x}}})

\int 9 x - x d x

n = 0 \sum \infty n (\frac{1}{e})^{n}

\frac{d}{d x} ((x^{3} + 2) (x^{2} + 1))

\frac{d}{d x} (sin (x) \cdot x)

What is the derivative of f(x)=x^3+x^2+x+5 ?
The derivative of f(x)=x^3+x^2+x+5 is 3x^2+2x+1
What is the first derivative of f(x)=x^3+x^2+x+5 ?
The first derivative of f(x)=x^3+x^2+x+5 is 3x^2+2x+1