# Find {eq}f {/eq}. {eq}f''(t) = 4 - 6/t^4, f(1) = 6, f'(2) = 9, t > 0 {/eq}

## Question:

Find {eq}f {/eq}.

{eq}f''(t) = 4 - 6/t^4, f(1) = 6, f'(2) = 9, t > 0 {/eq}

## Initial Value Problem:

An initial value problem in calculus is a problem that provides us with a derivative and a number of conditions/initial values that will enable us to determine the constants of integration that we will pick up along the way. Note that we have the second derivative of the function we seek, and so we will need to antidifferentiate a couple times.

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We antidifferentiate the given function to find the first derivative of the function we seek:

{eq}\begin{align*} f' (t) &= \int 4 - 6t^{-4}\ dt...