Derivative Review

Derivative Rules

100

What is the derivative of ln(x)

1/x

200

Find dy/dx of y = sin(x)

cos(x)

300

y=x^2 + 2x -  10 ning y' ni toping

2x+2

400

Sin (x²) ning ikkinchi hosilasi nima?

2cos(x²) - 4x²sin(x²)

Vocab & Definition

100

What is it called when the 2nd derivative equals 0?

Inflection Point

200

Tezlikning hosilasi:

Tezlanish

300

Parallel to'g'ri chiziqlarning umumiyligi?

burchak koeffisentlari teng bo'ladi

400

Funksiya o'suvchi bo'ladi, qachonki...

hosilasi musbat bo'lsa

More Derivative Rules

100

f(x)= log3(x) f'(x) =

1 /ln(3)x

200

sin(x) x ning hosilasi nimaga teng

xcos(x) + sin(x) 

300

(3x+5)²   hosilasini toping

3*2*(3x+5)=6(3x+5)

400

e^(sin(x))

cos(x) e^sin(x)

Integrals

100

3x^5 ni integrallash

3x^6     yoki x^6

  6                  2

200

Integralini hisoblang cos(2x)

gunoh (2x)/2

300

1/x qaysi funksiyaning hosilasi

ln(x)

400

3^x

3^x

ln(3)