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The curve is a quadratic equation because it has a x^2 - as it is positive it will be a u shaped parabola. The equation can be factorised by thinking of two numbers which add to make 4 (the b value) and m...
Chain rule:when we have a function on its own raised to a certain power. eg: f(x)=(2x+3)3--> f'(x)=3*2(2x+3)2Product rule:<...
Integral(Sin[x]Cos[x]dx) can be calculated. The method is to recognise that the trigonometric identity of 2Sin[x]Cos[x]=Sin[2x] can be applied. This would transform the integral into Integral(0.5Sin[2x]) ...
First rearrange the equation dy/dx = x3 + 5x Then move the dx to the RHS of the equation dy = ( x3+ 5x)dxThen integrate both sides, with respect to y on the LHS and with respect to x...
This is a simple differentiation example of a polynomial, where one uses the the standard algorithm - i.e.[nx^n-1] Ina polynomial, one differentiates all parts separately. First Take 3x^2. Multiply by the...
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