Suppose u and v are differentiable functions of x and

TokNeekCepTdh

TokNeekCepTdh

Answered question

2021-12-04

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)(7v-2u)

Answer & Explanation

George Blue

George Blue

Beginner2021-12-05Added 18 answers

We have the following using the derivative constant rule and the derivative difference rule:
d dx (7v2u)=d dx (7v)d dx (2u)Difference Rule=7dv dx 2du dx Constant Rule =7v2u
ddx(7v2u)|x=1=7v(1)2u(1)      =7(1)2(0)=7
d dx (7v2u)x=1=7

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