SOLUTION: This is for Calculus please help! Find the linearization L(x) of the function at a. f(x) = x3/4, a = 81

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Question 729516: This is for Calculus please help!
Find the linearization L(x) of the function at a.
f(x) = x3/4, a = 81
Answer by lwsshak3(11628) About Me  (Show Source):
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This is for Calculus please help!
Find the linearization L(x) of the function at a.
f(x) = x3/4, a = 81
***
L(x)=f(a)+(f'(a)(x-a)
f(a)=f(81)=(3)(81)/4
f'(x)=3/4
f'(81)=3/4
L(x)=f(a)+(f'(a)(x-a)
L(x)=(3)(81)/4+(3/4)(x-81)
L(x)=(3)(81)/4+(3x/4)-(3)(81)/4
L(x)=3x/4