Materials for the block test:
- Derivatives (all)
- Excluding motion in a straight line
f(x) | f'(x) | |
c | 0 | |
Power | cx^{n} | cnx^{n-1} |
Addition/Subtraction | u(x) + v(x) | u'(x) + v(x) |
Product | u(x) v(x) | u'(x) v(x) + u(x) v'(x) |
Quotient | u(x) / v(x) | (u'(x) v(x) + u(x) v'(x)) / (v(x))^{2} |
Exponential | a^{x} | a^{x }ln a |
a^{f(x)} | f'(x) a^{x }ln a | |
e^{x} | e^{x} | |
e^{f(x)} | f'(x) e^{f(x)} | |
Logarithmic | lnx | 1 / x |
log_{a}x | 1 / (x ln a) | |
log_{a}f(x) | f'(x) / (f(x) ln a) | |
Trigonometric | sin (x) | cos (x) |
sin (f(x)) | f'(x) sin (f(x)) | |
cos (x) | – sin (x) | |
cos (f(x)) | – f'(x) sin (f(x)) | |
tan (x) | sec^{2}(x) |
Blueaholic is listening to: SHINee – The 3rd Albums: (Dream Girl: The Misconceptions of You) and (Why So Serious?: The Misconceptions of Me)
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