Can someone explain what the following question is asking for?

Simplify:

(dy / dx) + (d²y / dx²)

y = e^3x

Question

Can someone explain what the following question is asking for?

Simplify:

(dy / dx) + (d²y / dx²)

y = e^3x

anonymous · Answer

You are given with y = e^3x

So:

Here firstly find dy/dx

then find d^2y/dx^2

Then after finding:

just add them..

anonymous · Answer

9x^4 :)

anonymous · Answer

Nope, not gettin git...

anonymous · Answer

Do you know what is the derivative of $\large e^{3x}$..??

ganeshie8 · Answer

can u reply water's q

anonymous · Answer

Answer: yes. What I'm asking is: what is the question asking me to do?

ganeshie8 · Answer

see water's first reply. just the q is asking u to find first derivative , second derivative, and add them

anonymous · Answer

so you're saying (d²y / dx²) is another way of writing "second derivative"?

ganeshie8 · Answer

yep, another way is y''

unklerhaukus · Answer

$$y(x)=f\big(g(x)\big)=e^{\alpha x}$$
$$f(x)=e^x\qquad g(x)=\alpha x$$$$f'(x)=e^x\qquad g'(x)=\alpha$$

$$y'(x)=g'(x)f'\big(g(x)\big)=\alpha e^{\alpha x}$$