By using the logarithmic differentiation.
Do you know it ?
If no, Where did you see this problem ?
Or is it from your mind ?
It's been a while since I've had to solve anything this way, I can't remember..
This is a problem on a past exam paper for Level One Calculus for Uni.
I have an exam on 20th, I've solved everything on the paper except this.
It's been a while since I've had to solve anything this way, I can't remember..
This is a problem on a past exam paper for Level One Calculus for Uni.
I have an exam on 20th, I've solved everything on the paper except this.
Let $\displaystyle y=(x^2+1)^{sinx}$
take the natural logarithmic of both sides.
$\displaystyle ln(y) = (sinx) ln(x^2+1) $
Now differentiate both sides with respect to x.