Math Problem Statement

Find

f

such that

f prime left parenthesis x right parenthesisf′(x)equals=6 x minus 56x−5​,

f left parenthesis 4 right parenthesisf(4)equals=0.

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Integration
Initial Value Problem

Formulas

f(x) = ∫f′(x) dx
f(x) = 3x^2 - 5x + C

Theorems

Fundamental Theorem of Calculus

Suitable Grade Level

Grades 11-12 (Pre-Calculus/Calculus)