Double Angle Identities + Must Knows

cos 2x

cos²x - sin²x

sin 2x

2sinx cosx

cos 2x

2cos²x - 1

cos 2x

1 - 2sin²x

tan 2x

2tanx / 1 - tan²x

tan²x + 1 = ?

sec²x

1 + cot²x = ?

csc²x

sin²x + cos²x = ?

1

sin^-1x

siny = x

d/dx(√x)

1

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2√x

d/dx(e³x)

3e³x

d/dx(e^x²)

2xe²

d/dx(7^x)

(ln7)(7^x)

d/dx(e²)

0

d/dx[log₃(x)]

1

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(ln3)x

d/dx[log(x)]

1

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(ln10)x

dy/dx(x^x)

x^x(lnx+1)