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[vivekjain0908]

Confused on how to approach this q.

 

[jimmysmith560]

Perhaps the following would be useful in terms of part (i) and part (ii):

Differentiate both sides of the equation:



Differentiate the left side of the equation:



Since 9 is a constant with respect to 𝑥, the derivative of 9 with respect to 𝑥 is 0.

Reform the equation by setting the left side equal to the right side:



Solve for



Replace with



I hope this helps!

 

[chilli 412]

for part (iii), think about at what point on the circle will the tangent line be undefined (a vertical line as the slope)
recall that for eq of circles, x^2 + y^2 = r^2
so we know that -3 and 3 are the radius of the circle on the x axis
the slope at these points would be a vertical line, hence undefined