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Will differentiate to 3*x^(1/2)+1. As you bring down the power and mulitply it my the coefficients, and take one off of the power for terms with x. And any constant differentiates to 0.

The easiest thing to do is to look at what is in the name. For integration you have `in`, which corresponds to an `increase` in power. Whereas with differenentiation you have `d` for decrease in power. Th...

Differentiate both equations given with respect to t.
dx/dt = -2sin(t)
dy/dt = -6sin(2t)

dy/dx = (dy/dt) / (dx/dt)
Sub your values in to get

dy/dx = (3sin(2t))/sin(t)

The derivative of a function f(x) is a measure of how the function f changes as its variable x changes. You have already met an example of derivatives: the gradient, m,...

Sketching trigonometric graphs is all about working from the graphs you already know and seeing how they behave when added/multiplied/substracted from each other to sketch more complicated functions.