Differentiate: tcos(t^2) ?

1 Answer
Ananda Dasgupta
May 11, 2018

# cos(t^2)-2t^2 sin(t^2)#

Explanation:

Use the product rule and chin rule :

#d/dt (t cos(t^2)) = (d/dt t)times cos(t^2) + t times d/dt (cos(t^2))#
#qquad = 1 times cos(t^2) + t times (-sin(t^2)) times (d/dt t^2)#
#qquad = cos(t^2)-2t^2 sin(t^2)#

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