Calculus Exam Preparation: Complete Study Guide

[calculusexpert]

Trigonometric Derivatives​

d/dx[sin(x)] = cos(x)
d/dx[cos(x)] = -sin(x)
d/dx[tan(x)] = sec²(x)
d/dx[csc(x)] = -csc(x)cot(x)
d/dx[sec(x)] = sec(x)tan(x)
d/dx[cot(x)] = -csc²(x)
Start Practice

Exponential & Logarithmic Derivatives​

d/dx[e^x] = e^x
d/dx[a^x] = a^x · ln(a)
d/dx[ln(x)] = 1/x
d/dx[log_a(x)] = 1/(x·ln(a))
Exponential Examples
Example 1: d/dx[e^(2x)] = e^(2x) · 2 = 2e^(2x)
Example 2: d/dx[2^x] = 2^x · ln(2)
Example 3: d/dx[ln(x²)] = 1/x² · 2x = 2/x

 

[Ted]

I've approved this thread if the poster wishes to contribute further useful study guide information, but have removed unsolicited links to what I presume is their site.

 

[calculusexpert]

I've approved this thread if the poster wishes to contribute further useful study guide information, but have removed unsolicited links to what I presume is their site.

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