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Find dy/dx of 5x^2 + 2y^3 +8 =17.

As we have to differentiate both x and y, we must use implict differentiation for the y by differentiating it with respect to x (also written as d/dx)

5x-> 10x (multiply the power by the number at the start and take away 1 from the power)

2y3 -> 6y2 . dy/dx (the dot means multiply)

8 -> 0 (a sole constant always differnetiates to 0)

17 -> 0

Therefore the equation now looks like this:

10x + 6y2 . dy/dx = 0

so 6y2 .dy/dx = -10x

so dy/dx = -10x / 6y

Anish P. A Level Maths tutor, GCSE Maths tutor, A Level Economics tutor

9 months ago

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