Use the reduction formulas to reduce sin^4 θ to only linear powers of cosine (cos(θ) = ”linear”, (cos^(any power > 1)θ) = not ”linear”)

differentiate y = sin^3(tet^2) and simplify

The equation is x+sin(πx). The first derivative is 1+πcos(πx). The second derivative is -π^2(sin)(πx). What intervals are increasing, decreasing, concave up, and concave down?

Evaluate d^1974/dx^1974 (pi cos x).