- #1
mastermechanic
- 108
- 15
Homework Statement
Question has been attached to topic.
Homework Equations
Chain rule.
The Attempt at a Solution
$$\frac {dy}{dt} . \frac{dt}{dx} = \sqrt{t^2+1}.cos(π.t)$$
$$\frac{d^2y}{dt^2}.(\frac{dt}{dx})^2 = 2 $$
$$\frac{d^2y}{dt^2}.(t^2+1).cos^2(π.t)= 2 $$ and for the t=3/4,
$$\frac{d^2y}{dt^2}.\frac{25}{16}.\frac{1}{2} = 2 $$
$$\frac{d^2y}{dt^2} = \frac{64}{25}$$
$$\frac{dy}{dt} = \frac{8}{5}$$
I count the dt\dx as the function itself because it is the previous status of the function, I mean the function in the problem statement is a result of dt/dx.
Is my solution correct? Is my approach correct? If not , where am I wrong and how to solve?
Thank you!