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17-12-2016
Mathematics

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Suppose f (x) is a differentiable function such that f (1) = 7 and f ′(1) = 2. Use a tangent line approximation to estimate f (0.8).

Respuesta :

17-12-2016

Tangent approximation,

[tex]f(x)=f(x_0)+f'(x_0)(x-x_0)[/tex]

[tex]f(0.8)=f(1)+f'(1)(0.8-1)=7-2\cdot0.2=6.6[/tex]

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