Answer to Question #215105 in Calculus for Taj

Question

Ques:2
Use Differentiation of Vector-Valued Functions to calculate the derivative of each of the
following functions.
a. r(t)=(6t+8)i+(4t2+2t−3)jr(t)=(6t+8)i+(4t2+2t−3)j
b. r(t)=3costi+4sintj

Answer 1

Let us use Differentiation of Vector-Valued Functions to calculate the derivative of each of the

following functions.

a. $r(t)=(6t+8)i+(4t^2+2t−3)j$

It follows that $r'(t)=6i+(8t+2) j$

b. $r(t)=3\cos t i+4\sin t j$

It follows that $r'(t)=-3\sin ti+4\cos t j$