2 Rule used to differentiate Type of functionRule used to differentiatePolynomialConstantAlways becomes zeroRemember that , e , ln(3), are still constantsComposite function (function of a function)Chain rule
3 Rule used to differentiate Type of functionRule used to differentiate2 functions of x multiplied togetherProduct rule1 function of x divided by another function of xQuotient ruleExponential function
4 Rule used to differentiate Type of functionRule used to differentiateNatural logarithmTrigonometric functions
11 Find gradient at particular point Substitute the x-value for that point into the expression for dy/dx.With implicit functions, you will need the x and y values.
12 Find tangent or normalA tangent or normal is a straight line (y = mx + c).For the tangent, m is the gradient at that point.For the normal, m is
13 Find turning points and their nature (min/max) Turning pt is when dy/dx=0To determine nature:Use 2nd derivative test If d2y/dx2:> 0, local minimum< 0, local maximum= 0, test inconclusive – could be min, max or point of inflectionExamine gradient on either side of the point. Use this method if finding the 2nd derivative is too hard or if the test was inconclusive.