What is the derivative of x(t)=2 sin(2πt+π/2)cm?

1 Answer
Jim G.
Apr 24, 2018

#x'(t)=4picos(2pit+pi/2)#

Explanation:

#"differentiate using the "color(blue)"chain rule"#

#"Given "y=f(g(x))" then"#

#dy/dx=f'(g(x))xxg'(x)larrcolor(blue)"chain rule"#

#x(t)=2sin(2pit+pi/2)#

#rArrx'(t)=2cos(2pit+pi/2)xxd/dt(2pit+pi/2)#

#color(white)(rArrx'(t))=2cos(2pit+pi/2)xx2pi#

#color(white)(rArrx'(t))=4picos(2pit+pi/2)#

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