Let fxsqrt58x Compute f 9 using the limit definition f 9 Fi

Let f(x)=sqrt(58-x). Compute f \'(9) using the limit definition

f \'(9)= ____?

Find an equation of the tangent line at x=9

y =____?

f(x) = (58-x)

f\'(x) = -1/2(58-x)

f\'(9) = -1/249

= -1/2*7 = -1/14

eqn of tangent

y - 7 = -1/14 (x-9)

14y - 98 = -x+9

x+14y -107 = 0

$Let f(x)=sqrt(58-x). Compute f \'(9) using the limit definition f \'(9)= ____? Find an equation of the tangent line at x=9 y =____?Solutionf(x) = (58-x) f\'(x)$

Let fxsqrt58x Compute f 9 using the limit definition f 9 Fi

Solution

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