Find the derivative of the following function y = 2xsin (2x + 5)
solution
y=2xsin(2x+5)
y'=2(x)'sin(2x+5)+2x[sin(2x+5)]'(2x+5)'
=2sin(2x+5)+2xcos(2x+5)×2
=2sin(2x+5)+4xcos(2x+5)
Find the derivative of the function y = 2xsin (2x + 5),
y'=2x'*sin(2x+5)+2x*[sin(2x+5)]'
=2sin(2x+5)+2x*cos(2x+5)*(2x+5)'
=2sin(2x+5)+4xcos(2x+5)
Derivation of y = 2xsin (2x + 5)
y'=(2x)'sin(2x+5)+(2x)[sin(2x+5)]'
=2sin(2x+5)+4xcos(2x+5)