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This question requires the use of two key rules of differentiating. The first of these is the product rule. The product rule describes a way of differentiating an equation which is the product of two diff...

The +c is to represent the loss in information after differentiation. Remember, integration is just the reverse of differentiation. Say we had this function:

f(x) = 2x^2 + 1 And we differentiate: f...

We first see that we are asked to solve the equation in terms of y. We can see that y = 2^x, and there is also a 2^x in the equation, meaning we can instantly change that to y. However, there is also a 4^...

1 find the domain of the function (where it exist) 2 find the solutions of the function, solve f(x)=0 3 if it has vertical asyntotes (poles) identify them (eg the denomitator=0) 4 find the intesections wi...

The gradient is the rate of change at a specific point on the curve. Since the tangent is a straight line that touches the curve only once at a specific point, the gradient of the curve and the tangent wi...