d/dx [f(x) +/- g(x)]= f'(x) +/- g'(x) Using the derivative rules for sums and differences, we can differentiate f(x) +/- g(x) term by term and obtain: d/dx...
d/dx [tanx] sec^2x The derivative of tan(x) can be found using the quotient rule since tan(x) = sin(x)/cos(x) as: (d/dx) tan(x) = [(d/dx) sin(x) cos(x) – sin(x)...
d/dx [secx] secxtanx To differentiate sec(x) with respect to x, we can use the chain rule and the fact that the derivative of cos(x) is -sin(x). Let...