Find ft for ft et2sqrtcoshet Please show all work explain
Find f\'(t) for f(t) = e^t^2sqrt(cosh(e^t))
Please show all work / explain how you find the solution for full rating.
Please show all work / explain how you find the solution for full rating.
Solution
f(t) = e^t^2(cosh(e^t))
f\'(t) = e^t^2 d/dt((cosh(e^t)) + (cosh(e^t) d/dt(e^t^2)
f\'(t) = e^t^2*1/2(cosh(e^t)^-1/2*(-sinh(e^t))*e^t + (cosh(e^t) * 2te^t^2
f\'(t) = -e^t^2[1/2 sinh(e^t)*e^t*(cosh(e^t)^-1/2 + 2t(cosh(e^t))
