Business Calculus
Find the derivative of the function y=3cosx+4sinxy=3\(\cos\) x+4\(\sin\) x.
Find the derivative of the function f(x)=2cosx+3sinx2cosx−3sinxf\(\left\)(x\(\right\))=\(\frac{2\cos x+3\sin x}{2\cos x-3\sin x}\).
Determine the limit of the function f(x)=sinxx−πf\(\left\)(x\(\right\))=\(\frac{\sin x}{x-\pi}\) as x→πx\(\to\]\pi\).
Determine the derivative of zz with respect to ww, given z=2w4tanwz=2w^4\(\tan\) w.
A wave travels along a string, and its position in millimeters is described by h(t)=15(2cost+1)h\(\left\)(t\(\right\))=15\(\left\)(2\(\cos\) t+1\(\right\)), for t≥0t\(\geq{0}\), where tt represents time in seconds. Determine the times and positions at which the velocity is zero.
