Given : {eq}\displaystyle f''(x) = 3x - 6 {/eq}; {eq}\displaystyle \ \ \ \ f'(-3) = -5 {/eq}; {eq}\displaystyle \ \ \ \ f(-3) = -5 {/eq}
Find {eq}\displaystyle f'(x) {/eq} and {eq}\displaystyle f(2) {/eq}.
Question:
Given : {eq}\displaystyle f''(x) = 3x - 6 {/eq}; {eq}\displaystyle \ \ \ \ f'(-3) = -5 {/eq}; {eq}\displaystyle \ \ \ \ f(-3) = -5 {/eq}
Find {eq}\displaystyle f'(x) {/eq} and {eq}\displaystyle f(2) {/eq}.
Initial Value Problem:
An initial value problem is essentially a type of integration problem. If you are given a derivative and an initial value of its integral function, you can solve the value of the constant of integration. In this way, initial value problems yield a particular solution for a given derivative instead of a general solution. Initial conditions need not be set at zero; they have to have a definite value.
Answer and Explanation: 1
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View this answer{eq}f''(x) = 3x-6, f'(-3) = -5, f(-3) = -5 {/eq}
To get from the second derivative of the function of the function, two antiderivatives will have...
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Chapter 8 / Lesson 12Understand what an antiderivative is and what antiderivative rules are. Use various antiderivative formulas and learn how to do antiderivatives. See the antiderivative chart for common functions and practice solving basic antiderivatives examples.