Tuesday, December 20, 2016

Calculus and Its Applications, Chapter 1, 1.6, Section 1.6, Problem 36

Differentiate G(t)=(3t5t2)(t5t)

G(t)=(3t5)(t)(3t5)(5t)(t2)(t)+(t2)(5t)Use FOIL methodG(t)=3t615t4t3+5tMultiply variables with same bases by adding their exponents and divide variables with the same base by subtracting the exponents


Thus, by taking the derivative, we get

G(t)=ddt[3t615t4t3+5t]=18t560t33t2+5

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