Derivative Rules — Memorize These

Power rule: d/dx[xⁿ] = nxⁿ⁻¹

Constant: d/dx[c] = 0

Constant multiple: d/dx[cf(x)] = c·f'(x)

Sum/Difference: d/dx[f±g] = f'±g'

Trig derivatives:

d/dx[sin x] = cos x

d/dx[cos x] = -sin x

d/dx[tan x] = sec²x

d/dx[sec x] = sec x · tan x

d/dx[csc x] = -csc x · cot x

d/dx[cot x] = -csc²x

Exponential: d/dx[eˣ] = eˣ

Natural log: d/dx[ln x] = 1/x

General exponential: d/dx[aˣ] = aˣ · ln a

These rules must be instant. You'll use them hundreds of times on the exam.

Reference:

Wikipedia: Differentiation Rules

https://en.wikipedia.org/wiki/Differentiation_rules