calc trig

d/dx [sin x]

cos x

dy/dx[cos x]

-sin x

dy/dx [tan x]

sec²x

dy/dx[sec x]

secxtanx

dy/dx [cot x]

-csc²x

dy/dx [csc x]

-cscxcotx

dy/dx [logb x] =

1/( x * ln(b) ) *x’

dy/dx [b^x]

b^x ln(b) * x’

dy/dx [ ln(x) ]

( 1/x ) * x’

d/dx [$y=x^{x}$ ]

$$x^{x}\left(\ln x+1\right)$$

d/dx $\left\lbrack\arcsin x\right\rbrack$

$$\frac{1}{\sqrt{1-x^2}}\cdot x^{\prime}$$

d/dx [arcsec x]

$$\frac{\text{1}}{\left\vert x\right\vert\cdot\sqrt{x^2-1}}\cdot x^{\prime}$$

d/dx [arctan x]

$$\frac{1}{1+x^2}\cdot x^{\prime}$$

d/dx [arccos u]

$$-\frac{1}{\sqrt{1-x^2}}\cdot x^{\prime}$$

d/dx [arc csc x]

$$-\frac{1}{\left\vert x\right\vert\cdot\sqrt{x^2-1}}\cdot x^{\prime}$$

d/dx[arc cot x]

$$-\frac{1}{1+x^2}\cdot x^{\prime}$$

1+ tan²x

sec²x

1+ cot²x

csc²x

sin²x + cos²x

1