Question

find the derivative of (e^(delta * Pie) *sin(t) + e^(-pie * t) *cos(delta * pie))

Answer 1

the derivative of e^x is e^x, the derivative of cos(x) is -sin(x), and the derivative of the sin(x) is cos(x). using that the derivative is:
e^(delta*pi)*-sin(t) + e^(-pie * t) *cos(delta * pie)*(-pi)

e^(delta*pi) and cos(delta * pie can be thought of as constants because the variable you are differentiating with respect to is t, so they dont appear in those terms