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y_C=x³ - 7x + 3 ------> equation of curve.y_T=mx+c ----------------> equation of tangent, where m is the gradient of the graph and c is the value of the y-intercept (t...

We are looking for all the x values for which this equation holds. We know how to solve quadratic equations without the inequalities, and that is the first step here! So let's forget about the greater tha...

2x³ + 4x^3/2 - 5x + cGeneral rule for integration is increase the power by 1 then divide by the new powerAlways remember +C !!!!!!!

In order to use the binomial expansion, we must have an 'x' with no coefficients - so no number before it.
So we take out a factor of 2:(2(x+3))^5
We can then simplify to:32(x+3)^5
by expa...

Differentiation is a mathematical operation which we can use to study how one quantity, such as the distance travelled by a train, is affected by another quantity, such as time. For example, if the train ...