y=cos−1(cos(α−x)) Step 3: Simplify the expression 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 ...
What are the derivatives of trigonometric functions? 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 ...