Calc BC - To Memorize
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34 Terms
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DNE
DNE
y = tanx ; find y’
y’ = sec²x
y = cotx ; find y’
y’ = -csc²x
y = secx ; find y’
y’ = secxtanx
y = cscx ; find y’
y’ = -cscxcotx
Product rule formula given y = f(x) * g(x)
y’ = f’(x) * g(x) + f(x) * g’(x)
Quotient rule formula given y = f(x) / g(x)
y’ = f’(x) * g(x) - f(x) * g’(x) / (g(x))²
Chain rule formula given y = f(g(x))
y’ = f’(g(x)) * g’(x)
y = constant ; find y’
0
y= ln(x) ; find y’
1/x
y= e^x ; find y’
e^x
when f(x) increases, f’(x)…
f’(x) is positive
when f(x) decreases, f’(x)…
f’(x) is negative
when f(x) has a local minimum, f’(x)…
f’(x) goes from - to +
when f(x) has a local maximum, f’(x)…
f’(x) goes from + to -
when f(x) has a point of inflection, f’(x)…
f’(x) changes direction
when f(x) is concave up, f’(x)…
f’(x) increases
when f(x) is concave down, f’(x)…
f’(x) decreases
when f(x) is concave up, f’’(x)…
f’’(x) is positive
when f(x) is concave down, f’’(x)…
f’’(x) is negative
when f(x) has a point of inflection, f’’(x)…
f’’(x) changes signs
-cosx + C
sinx + C
tanx + C
-cscx + C
-cotx + C
secx + C
Note 
Flashcards (120)