Suppose u and v are differentiable functions of x and

Carolyn Moore

Carolyn Moore

Answered question

2021-12-03

Suppose u and v are differentiable functions of x and that
u(1) = 2, u'(1) = 0, v(1) = 5, v'(1) = -1.
Find the values of the following derivatives at x = 1.
(d/dx)(v/u)

Answer & Explanation

Michele Grimsley

Michele Grimsley

Beginner2021-12-04Added 19 answers

Using derivative quotient rule, we have
ddx(uv)=udvdxvdudxu2=uvvuu2
ddx(uv)x=1=u(1)v(1)v(1)u(1)(u(1))2
=2(1)5(0)22=0.5
ddx(vu)x=1=0.5

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