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– Note that in the above examples, log diﬀerentiation is required. ( t) determine all the points where the object is not moving.
G R QAXldlL pr FiVgAhItCs H Urreksaehruvue OdH. . Section 2 The product rule The product rule gives us a method of working out the derivative of a function which can be written as the product of functions.
derivative easier (allows you to avoid using multiple product and quotient rules) Use whenever you are trying to diﬀerentiate d dx f(x)g(x) – Examples: xx; x p x; (x2 +1) , etc.
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12. M Q mAFl7lL or xiqgDh0tpss LrFezsyeIrrv ReNds.
Calculate the gradient of.
p 4x+9 13.
Find y′ y ′ by solving the equation for y and differentiating directly. f x x x( ) 3 2 5 1 12 10 2 4.
Use proper notation and simplify your final answers.