Math Problem Statement

Given the function f, of, x, equals, minus, start fraction, 3, divided by, 2, x, end fraction, minus, start fraction, 5, divided by, 6, x, squared, end fraction, commaf(x)=−2x3​−6x25​, find f, prime, of, 2, .f′(2). Express your answer as a single fraction in simplest form.

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Algebra

Formulas

Power rule for differentiation: d/dx(x^n) = nx^(n-1)
Derivative of a linear term: d/dx(ax) = a
Derivative of a quadratic term: d/dx(ax^2) = 2ax

Theorems

Power Rule

Suitable Grade Level

Grades 11-12