Differentiate the function ht 7 Squareroot t 7et ht Soluti

Differentiate the function h(t) =^7 Squareroot t - 7e^t h\'(t) =

Solution

h(t)=t^(7/2)-7e^t

Diff wrt t

h\'(t)=7/2(t)^7/2-1-7e^t

=7/2t^2-7e^t

Used d/dx(x^n)=nx^n-1

And d/dx(e^x)=e^x

,d/dx(c.f(x))=c.d/dx(f(x))

d/dx(f(x)-g(x))=d/dx(f(x))-d/dx(g(x))