Derivative Rules: If u is a function of x, then: 1) d(un ) dx dx 2) d(ln u
Transcription
Derivative Rules: If u is a function of x, then: 1) d(un ) dx dx 2) d(ln u
Derivative Rules: If u is a function of x, then: 1) d(u n ) du = nu n −1 dx dx 2) d(ln u) 1 du = dx u dx 3) d(sinu) du = cosu dx dx 4) d(cosu) du = − sinu dx dx 5) d(tanu) du = sec 2 u dx dx 6) d(cotu) du = − csc 2 u dx dx 7) d(secu) du = secutanu dx dx 8) d(cscu) du = − cscucotu dx dx 9) d(e u ) du = eu dx dx 10) d(a u ) du = a u lna dx dx 11) d(sin −1 u) 1 du = dx 1− u 2 dx 12) d(tan − 1 u) 1 du = dx 1 + u 2 dx 13) d(sec −1 u) 1 du = 2 dx u u −1 dx Product Rule: Dx [fg] = fg′ + f ′g Quotient Rule: Dx f gf ′ − fg′ = g g2