← Discover
Calculus I
Derivative Rules
14 terms · by ineedtostudy · updated 4 hours ago
Sign up or log in to track what you have mastered. You can still study this set as a guest.
Flashcards
Flip through the deck and sort each card into “still learning” or “got it”.
Learn
Adaptive rounds — multiple choice first, then typing, weakest cards more often.
Match
Race the clock pairing terms with definitions. Six pairs a round.
Test
A graded mock exam: written, multiple choice and true/false, marked at the end.
Crossword
Terms become answers, definitions become clues. Solve it here or print it.
Terms in this set
Power rule
d/dx xⁿ = n·x^(n−1)
Constant rule
d/dx c = 0
Sum rule
d/dx [f + g] = f′ + g′
Product rule
d/dx [f·g] = f′g + fg′
Quotient rule
d/dx [f/g] = (f′g − fg′) / g²
Chain rule
d/dx f(g(x)) = f′(g(x)) · g′(x)
d/dx sin x
cos x
d/dx cos x
−sin x
d/dx tan x
sec² x
d/dx eˣ
eˣ — the function that is its own derivative.
d/dx ln x
1/x, for x > 0
d/dx aˣ
aˣ · ln a
d/dx arcsin x
1 / √(1 − x²)
d/dx arctan x
1 / (1 + x²)