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Where do the kinematics equations (SUVAT) come from?

mathematical derivation

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Calculate dy/dx for y=x(x−1)

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A spherical balloon of radius r cm has volume Vcm^3 , where V =4/3 * pi * r^3. The balloon is inflated at a constant rate of 10 cm^3 s^-1 . Find the rate of increase of r when r = 8.

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Given y = 2x^2 + 3x + 2 find dy/dx

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Core 3 Differentiation: If y = (3x^2 + 2x + 5)^10, find its derivative, dy/dx. Hint: Use the chain rule.

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