Please can someone help me with this:
The Curve with equation y = f (x) passes through the point (8,7)
Given that
f ' (x) = 4x^1/3 - 5
find f(x)
Many thanks,
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Hello,
Find the primitive of f'(x) :
An antiderivative of $\displaystyle x^n$ is $\displaystyle \frac{x^{n+1}}{n+1}$. Here, n=1/3
An antiderivative of a is ax. Here, a=-5.
The primitive will be the sum of these antiderivatives, to which you add a constant c.
The fact that the curve passes through the point (8,7) will help you find c.