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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)..

Verified Answer :

JohnES

Tangent approximation,

f(x)=f(x1)+f'(x1)(x-x1)

Then,

f(x)=f(1)+f'(1)(x-1)=7+2(x-1)

And,

f(0.8)=6.6

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