Derivatives of Trigonometric Functions

sin x

100

y = sin(x+1)

y'=cos(x+1)(1)

200

y=sin(-x)

y'=cos(-x)(-1)

300

y=sin(3x+4)

y'=cos(3x+4)(3)

400

y=x sinx

y'= xcosx(1)+sinx(1)

500

y=sin²5x

y'=2(sin5x)¹cos5x(5)

cos x

100

y=-cosx

y'= sinx

200

y=cos5x

y'=-sin5x(5)

300

y=cos(-2x)

y'=-sin(-2x)(-2)

400

y=1/cosx

y'=secxtanx(1)

500

y=cos²5x

y'=2(cos5x)¹(-sin5x)(5)

tan x

100

y=tan2x

y'=sec²2x(2)

200

y=tan(5x-1)

y'=sec²(5x-1)(5)

300

y=sinx/cosx

y'=sec²x(1)

400

y=1/(tan5x)

y'=-csc²5x(5)

500

y=tan5x+sin3x

y=sec²5x(5)+cos3x(3)

?

100

y=cossqrtx

y'=-sinx^1/2(1/2)(x)^-1/2

200

y=xsinx+cosx

y'=xcosx+sinx(1)-sinx(1)

300

y=sin²x+cos²x

y'=2(sinx)cosx+2(cosx)-sinx

400

y=sin(1-x²)

y'=cos(1-x²)(-2x)

500

y=sin²x²

y'=2(sinx²)cosx²(2x)