Mathematics, 02.12.2019 21:31, victoria6929
Suppose u and v are functions of x that are differentiable at x=0 and that u(0)=3, u'(0)= -4, v(0)= 2, v'(0)= -7. find the values of the following derivatives at x=0. a.) d/dx(uv)
Answers: 2
![\bf \cfrac{d}{dx}[u(x)\cdot v(x)]\implies \cfrac{du}{dx}\cdot v(x)+u(x)\cdot \cfrac{dv}{dx}\quad \begin{cases} u(0)=3\qquad u'(0)=-4 \\\\ v(0)=2\qquad v'(0)=-7 \end{cases} \\\\ \left[ \cfrac{du}{dx} \right]_{x=0}\cdot v(0)+u(0)\cdot \left[ \cfrac{dv}{dx} \right]_{x=0}](/tpl/images/0399/8150/249ed.png)
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Suppose u and v are functions of x that are differentiable at x=0 and that u(0)=3, u'(0)= -4, v(0)=...
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