Problem Set D(1) A course repeater claims that his brother who did some Calculus at college years ago, butcurrently on some cough medication, believes that the first derivative of(2x? – 1)(x² + 3)2x[(2x2- 1)(x2 + 3)4xis f'(x) = 2x-12xf(x) =Lx2 + 1x2 +3x2 +1x2 + 1and(x2 + 8)7(x² + 8)7(2-3x2)5Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you14x30xthat the first derivative of g(x) =is g'(x) =+8*2-3x2] (2 – 3x²)5|x² +8confirm whether his brother is right, wrong or a little tipsy.

We use the Chain Rule, Product Rule and Quotient Rule to check the claim.

(1) A course repeater claims that his brother who did some Calculus at college years ago, but currently on some cough medication, believes that the first derivative of (2x2- 1)(x² + 3) f(x): [(2x²-1)(x2 + 3) 4x 2х 2x is f'(x) = %3D 13D x2 + 1 2x2 -1 x2 +3 x2 + 1. x2 +1 and (x² + 8)7 (2-3x2)5 Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you (x2 + 8)7 (2-3x2)5 14x 30x that the first derivative of g(x) is g'(x) = x² + 8 2-3x2 confirm whether his brother is right, wrong or a little tipsy.

(1) A course repeater claims that his brother who did some Calculus at college years ago, but currently on some cough medication, believes that the first derivative of (2x2- 1)(x² + 3) f(x): [(2x²-1)(x2 + 3) 4x 2х 2x is f'(x) = %3D 13D x2 + 1 2x2 -1 x2 +3 x2 + 1. x2 +1 and (x² + 8)7 (2-3x2)5 Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you (x2 + 8)7 (2-3x2)5 14x 30x that the first derivative of g(x) is g'(x) = x² + 8 2-3x2 confirm whether his brother is right, wrong or a little tipsy.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.5: Properties Of Logarithms

Problem 62E

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