Question

Can you apply product rule to :
\[\Large f(x)=e^{x}.sin(x)\]

Answer 1

\[\frac{dy}{dx} = e^x \cdot \sin(x) = e^x \cdot \sin(x) + e^x \cdot \cos(x) = e^x(\sin(x)\cos(x))\]

Answer 2

\[f^{(1)}(x)=e^{x}.sin(x)+e^{x}.cos(x)\] hmm also it looks same and how we done it according to \[f^{'}(x)=u^{'}v+uv^{'}\] i could not understand it

Answer 3

Derivative of e^x is e^x, so in both terms, it's going to be the same

Answer 4

is it a rule ?

Answer 5

Derivative of e^x = e^x is a rule, yes

Answer 6

ok thank you very much eyeh8maf