MediumPartial derivatives

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.3 Tangent Planes and Linear Approximations, #19 · Multivariable Calculus · Partial derivatives

You invest …4000…R=8\%…I=… per year

You invest $P=\$ 4000 $a t$ R=8\% $t o mak e$ I=$320 $p er y e a r . I f t h e n u mb er sc han g e b y$ dP $an d$ dR $w ha t i s$ dI $? I f t h er a t e d r o p s b y$ dR=.002 $(t o$ 7.8\% $) w ha t c han g e$ dP $k ee p s$ dI=0 $? F in d t h ee x a c t in t er es t$ I $a f t er t h osec han g es in$ R $an d$ P$.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.3 Tangent Planes and Linear Approximations, #19

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