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y = 3x⁴ - 8x³ - 3Bringing the power down on each term and subtracting one from the power (as to differentiate, nx^m —> nmx^m-1), we get for each derivative:dy/...

Firstly we differentiate the equation y=3sin(2x) w.r.t. x.By using the chain rule, we find the dy/dx=6cos(2x)Since a stationary point in the curve is a point where the gradient is 0, we can find them by f...

so this question is asking you to differentiate x³ + sin2xwe know that xⁿ differentiates do nx^n-1, so using that x³ will differentiate to 3x²we know ...

G = 9.81u = 0s = 100v² = u² + 2asv² = 2 * 100 * 9.81v = root( 2 * 100 * 9.81) = 44.29ms^-1
This question can be made into a 3 part question suitable for adv...

Integrate(x²)When we integrate we use the formula xⁿ⁺¹/n+1So therefore as in this case n=2So taking this all into account, the integral of x² = x³/3