Quotient rule worksheet with answers pdf

# Quotient rule worksheet with answers pdf
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After reading this text, and/or viewing the video Quotient Rule worksheet MATH Find the derivative of each of the following functions by using the quotient rulep x (5x2 +12x+1)log(x) p xex (x3 +15)p x cot(x)ln(x) (¡22x+8)tan(x) p xtan(x) (x3 +15)cos(x) cot(x)xcos(x) (¡sin(x)) (5x2 +12x+1) ex (¡cos(x)) x cot(x) ln(x) Section Product and Quotient Rule. d. If f (2) = −8 f (2) = − 8, f ′(2) =f ′ (2) = 3, g(2) =g (2) =and g′(2) = −4 g ′ (2) = −determine the value of (f g)′(2) (f g) ′ (2). (axn) = naxn−1 dx. For problems–use the Product Rule or the Quotient Rule to find the derivative of the given function. using the constant multiple rule and the power rule ii. The Quotient Rule In this worksheet, we will derive a formula for the derivative of a function of the form f(x) g(x). (b) f(x) = x5 i. using the quotient rule and the power rule Which method should we prefer? In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature. using Worksheet by Kuta Software LLCQuotient Rule) y = xx2 +dy dx = (4x2 + 4) × 4xx4 × 8x (4x2 + 4)= x5 + 2xx4 + 4x2 +) y = xxdy dx = (5x) × Solutions to Exercises. From here on out, let f(x) and g(x) be di erentiable f(x)= (8x+5)(x2−2x+3)f'(x)= (8)(x2−2x+3)−(2x−2)(8x+5) ⎡⎣(x2−2x+3)⎤⎦f'(x)= 8x2−16x+24−(16x2+10x−16x−10) ⎡⎣(x2−2x+3)⎤⎦f'(x i. Solution Worksheet by Kuta Software LLCQuotient Rule) y = xx2 +) y = xx) y = 5x4 +x5 +) y = 3xxx3 +) y = x4 + 4xx) y = 4x5 + 5xxx4 +) y = 3xxxx) y = 2x5 + 2xxx) y = 5xxx Exercise 1(a) If y = 4x2 + 3x − 5, then to calculate its derivative with respect to x, we need the sum rule and also the rule that. This unit illustrates this rule. using the power rule ii. In the ©7 f2V V3O nKMuJtCaF VS YoSfgtfw FaGrmeL 8L pL CP. M Q mAFl7lL or xiqgDh0tpss LrFezsyeIrrv ReNds. P Q uMSa0d 4eL tw i7t6h z YI0nsf Mion EiMtzeL EC ia7lDctu 9lfues U.f Worksheet by Kuta Software LLC Kuta SoftwareInfinite Calculus Name_____ DifferentiationQuotient Rule Date_____ Period____ mc-TY-quotient A special rule, the quotient rule, exists for differentiating quotients of two functions.