Using the property of the inverse cosine function, we have: y=α−x Step 4: Differentiate with respect tox Now, we differentiateywith respect tox: dydx=d(α−x)dx=dαdx−dxdx Sinceαis a constant (it does not depend onx), its derivative is 0: ...
The derivatives of six trigonometric functions are: (d/dx) sin x = cos x (d/dx) cos x = -sin x (d/dx) tan x = sec2x (d/dx) cosec x = -cosec x cot x (d/dx) sec x = sec x tan x (d/dx) cot x = -cosec2x ...