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Popular Calculus >

f^'(x)= x/8-1

Solution

f^{^{'}} (x) = \frac{x}{8} - 1

Solution

f (x) = \frac{x ^{2}}{16} - x + c_{1}

Solution steps

f^{'} (x) = \frac{x}{8} - 1

If

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

then

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

f (x) = \int \frac{x}{8} - 1 d x

\int \frac{x}{8} - 1 d x = \frac{x ^{2}}{16} - x + c_{1}

f (x) = \frac{x ^{2}}{16} - x + c_{1}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for f^'(x)= x/8-1 ?
The solution for f^'(x)= x/8-1 is f(x)=(x^2)/(16)-x+c_{1}