Math Problem Statement

1329Quiz5B.pdf

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Solution

It looks like you've uploaded a quiz that involves finding the derivatives of different functions. Here are the tasks based on your file:

1. Find the derivative of each function:

a) f(x)=(8x52x2+3)3f(x) = (8x^5 - 2x^2 + 3)^3

b) f(x)=1(3x+4)4f(x) = \frac{1}{(3x + 4)^4}

c) f(x)=e5x3+4x21f(x) = e^{-5x^3 + 4x^2 - 1}

d) f(x)=5xln(x)f(x) = 5x \ln(x)

e) f(x)=ln(2ex)f(x) = \ln(2e^x)

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Chain Rule
Logarithmic Derivatives

Formulas

Power Rule
Product Rule
Chain Rule
Logarithmic Derivative

Theorems

Derivative of e^x
Derivative of ln(x)
Derivative of x^n

Suitable Grade Level

Grades 11-12