Question

(d(2cost+2sint))/dt​

Answer 1

Answer:

d/dt 2cos(t) + 2sin(t) = d/dt 2cos(t) + d/dt 2sin(t)

= 2(-sin(t)) + 2cos(t)

= 2cos(t) - 2sin(t)

This is because:

2 is a constant, so it can be taken out of the derivative.

Also, Derivative of cos(t) = -sin(t)

And, Derivative of sin(t) = cos(t)