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

The derivative of 1+x+5x^2 is 10x+1

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

The first derivative of 1+x+5x^2 is 10x+1

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\frac{d}{d x} (1 + x + 5 x^{2})

10 x + 1

Solution steps

\frac{d}{d x} (1 + x + 5 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) + \frac{d x}{d x} + \frac{d}{d x} (5 x^{2})

\frac{d}{d x} (1) = 0

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

\frac{d}{d x} (5 x^{2}) = 10 x

= 0 + 1 + 10 x

Simplify

= 10 x + 1

\int_{- 2}^{1} 2 - x^{2} - x d x

(x^{9} - 1)^{3}

y = 3 x, y = 2 x - 18, y = 0

\frac{x ^{2} - 6 x + 1}{x ^{2} + 7}

\frac{d}{d x} (\frac{1}{2} e^{\frac{x}{2}})

What is the derivative of 1+x+5x^2 ?
The derivative of 1+x+5x^2 is 10x+1
What is the first derivative of 1+x+5x^2 ?
The first derivative of 1+x+5x^2 is 10x+1