MATH 1151 Lecture 13: MATH 1151 Lecture 13 - Product Rule and Quotient Rule

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Product rule is taking the derivative of f(x)*g(x) A function like f(x)=sin 2 (x) which is equal to sin(x)*sin(x) can have its derivative taken by the product rule. Quotient rule is taking the derivative of f(x)/g(x) A function like f(x)=1/x can have its derivative taken using the quotient rule (although other ways may be simpler for this one) F x gcxltfcxl. ge x becafifehsoas fun d fcx gcx. Ex. ) mum this is youranswer forthederivative of gce fc cx2 1 3 3 9 7 f x 1213 3 9 1 cx"t1 9 2 9. Nerve there h x _sinker h x whichis also coscx since 1since cosex. Lsince cos x fcx f x e2 et ett ex ex. Note sign goes with the denominator f x p. I f payattention toexponents if negativein denominator it can go to the numerator. X t 3x fur 37 h x hi x hips entity ex.

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