What is the solution for derivative of f(x)=x^2+8x+7 ?

The solution for derivative of f(x)=x^2+8x+7 is f(x)=(x^3)/3+4x^2+7x+c_{1}

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derivative of f(x)=x^2+8x+7

\frac{d}{d x} f (x) = x^{2} + 8 x + 7

f (x) = \frac{x ^{3}}{3} + 4 x^{2} + 7 x + c_{1}

Solution steps

\frac{df}{d x} = x^{2} + 8 x + 7

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

f (x) = \int x^{2} + 8 x + 7 d x

\int x^{2} + 8 x + 7 d x = \frac{x ^{3}}{3} + 4 x^{2} + 7 x + c_{1}

f (x) = \frac{x ^{3}}{3} + 4 x^{2} + 7 x + c_{1}

x \to 0 lim (\frac{7 x ^{5} + 5 x ^{2} + 12 x}{3 x ^{5} + 4 x})

x^{2} - 3 x y = 10

y^{^{'}} = \frac{sec ( y )}{( x - 3 ) ^{2}}

n = 0 \sum \infty \frac{2}{1}

\frac{\partial}{\partial x} (4 x + y)

What is the solution for derivative of f(x)=x^2+8x+7 ?
The solution for derivative of f(x)=x^2+8x+7 is f(x)=(x^3)/3+4x^2+7x+c_{1}