This is a question that involves chain rule, hyperbolas (reciprocal functions) and limits. Try it yourself first then have a look at the answer 🙂
In this quick tutorial, we learn how to use Geogebra to differentiate and integrate functions. A good way to check your answers and to improve your understanding, as you will be able to see a graph and its derivatives or integrals on the same axis. A must-have tool for anyone learning calculus.
In this tutorial we talk about what composite functions are and we do some problems dealing with composite functions.
In this calculus lesson you learn to use the first derivative test to find out whether a stationary point is a maximum, minimum or point of inflection
In this lesson we talk about how to locate stationary points on a curve, by differentiating the equation of the curve and making the derivative equal to zero, then solving for x.
In this lesson you learn how to find the equation of the tangent and the normal at a point on a curve by differentiation.
Today we talk about how to use the quotient rule to differentiate equations which are made up of one function divided by another (quotients).
In this lesson we discuss the proof of the product rule. You don’t need to know this for using the product rule to differentiate but it will be useful to have some background knowledge on how it was developed.
In this lesson you learn how to use the product rule to differentiate equations in the form of y = f * g. (the product of 2 functions). An example question would be: Differentiate y=(x+3)(x-2)
In this lesson you learn about how the chain rule is derived. Not necessary to apply the chain rule to differentiate but good background knowledge.