that the Product Rule makes the differentiation MUCH easier. Example 2: Find the derivative of f(x) = (x2 −1)(2cos3x). Solution 2: In this case we don’t have any choice, we have to use the Product Rule; even if we multiply out the brackets, we will still end up with a product 2x2cos3x. So let our functions g and h be g(x) = x2 −1 and h(x ...
The Product Rule mc-TY-product-2009-1 A special rule, theproductrule, exists for differentiating products of two (or more) functions. This unit illustrates this rule. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature.
Product Rule Instructions • Use black ink or ball-point pen. • If pencil is used for diagrams/sketches/graphs it must be dark (HB or B). • Fill in the boxes at the top of this page with your name. • Answer all questions and ensure that your answers to parts of questions are clearly labelled.. • Answer the questions in the spaces provided
Section 2: The Product Rule 5 2. The Product Rule The product rule states that if u and v are both functions of x and y is their product, then the derivative of y is given by if y = uv, then dy dx = u dv dx +v du dx Here is a systematic procedure for applying the product rule: • Factorise y into y = uv; • Calculate the derivatives du dx and ...
The Product Rule for Counting Instructions Use black ink or ball-point pen. Answer all questions. Answer the questions in the spaces provided — there may be more space than you need. Diagrams are NOT accurately drawn, unless otherwise indicated. You must show all your working out. Information The marks for each question are shown in brackets
Critical thinking question: 14) A classmate claims that (f ⋅ g)' = f ' ⋅ g' for any functions f and g. Show an example that proves your classmate wrong. Many answers. Ex: f = 2x, g = 4, 8 ≠ 0-2-Create your own worksheets like this one with Infinite Calculus. Free trial available at KutaSoftware.com
The Product Rule for Counting Name: _____ Instructions • Use black ink or ball-point pen. • Answer all questions. • Answer the questions in the spaces provided – there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. • You must show all your working out. Information
05.02.2018 · Section 3-4 : Product and Quotient Rule. For problems 1 – 6 use the Product Rule or the Quotient Rule to find the derivative of the given function. If f (2) = −8 f ( 2) = − 8, f ′(2) = 3 f ′ ( 2) = 3, g(2) =17 g ( 2) = 17 and g′(2) = −4 g ′ ( 2) = − 4 determine the value of (f g)′(2) ( f g) ′ ( 2). Solution. If f (x) = x3g ...