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To differentiate you bring the power down and multiply it by any coefficients (numbers in front of the xs) then subtract one from the power So x 3 becomes 3x 2 2x 2 becomes 2*2x 2-1 = 4x 4x becomes 4*1x 1-1 ...

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Use integration by parts. Let u = x^4 and let dv/dx = -sin(x). Find du/dx = 4x^3 and fin v = cos(x). Use the equation uv - int (v du/dx) = x^4 cos(x) - 4((x^4/4)*(sin(x)) = x^4 cos(x) - x^4 sin(x) = x^4 (cos...

So I’ve set out a sheet with a few examples of how to do simultaneous equations. The first method shows a simple graphic representation where you can get an estimate of the solutions, but I then show how thi...

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.