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A2 Differentiation

Question is "Find an expresion in terms of x and y for th gradient curve x^2+y^2-3x+4y=6"

I made this dy/dx = 3-2x/2y+4

But the question also asks "for what value of y will the gradient of the curve be infinite?"
Reply 1
Avatar for Zoonage
Zoonage
the denominator must become zero so

(3-2x)/(2y+4) <--- denominator

2y+4=0

solve for y, at that point dy/dx becomes infinity
Reply 2
Avatar for ElMoro
ElMoro
18
Hint: as the bottom of that fraction gets closer and closer to 0, the gradient of the curve gets bigger and bigger

Hope this helps :wink2:
Reply 3
Avatar for TenOfThem
TenOfThem
18
Assuming the first part is correct a zero denominator will give infinity
Original post by eckothegecko
Question is &quot;Find an expresion in terms of x and y for th gradient curve x^2+y^2-3x+4y=6&quot;

I made this dy/dx = (3-2x)/(2y+4)

But the question also asks &quot;for what value of y will the gradient of the curve be infinite?&quot;


the denominator equals 0

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