can you please Differentiate e^x . 3x^5 expression
U(x)=d/dx (e^x.3x^5)= 3x^5 * d/dx(e^x)+e^x d/dx(3x^5) where U(x) is the function in return due to differentiating the given function.
We know d/dx(a^x)=a^x ln a and d/dx(x^n)=nx^n-1
Thus, U(x)= 3x^5*e^x*ln(e)+e^x*3*5*x^4=3e^xx^5+15e^x x^4 is the required answer.
I hope my answer helps. All the very best for your future endeavors!
Hey aspirant,
Hope you are doing well these days!
The answer of the above question will be:-
Using the (u.v)dx formula,
e^x*15*x+3x *e^x
Hope it helps!





