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  • If , then find the approximate value of f(2.1).  

If f(x) = x^{ 4} - 10, then find the approximate value of f(2.1).

 

Answers (1)

f(x) = x^{ 4} - 10

f(2) = 2^{ 4} - 10 =6

f'(x) = 4x^{ 3}

f'(2) = 4(2)^{ 3} = 32

\begin{aligned} f(2.1) &=f(2)+(0.1) f^{\prime}(2) \\ &=9.2 \end{aligned}

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