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For each of the following, find the equation of the tangent line at the indicated point. Verify by calculator. 16.) f (x) = Vx2 +
For each of the following, find the equation of the tangent line at the indicated point. Verify by calculator. 16.) f (x) = Vx2 + 2x+8 at (2, 4) 17.) f ( x ) = $3x3 + 4x at ( 2, 2) Given the following information, find the value of the derivative of the functions at x = 3. Be careful, not all the information is needed to calculate these. X f(x) g (x) f'(x) g'(x) Use the chart to the right for Problems 18 through 32. 3 8 -3 - 5 6 3 -2 4 5 8 -1 3 4 2 -6 5 0 18.) f(x) +8(x) 19.) f(x)g(x) 20.) J (x) g(x) 21.) g (x) 22.) (f (x ) ) 23.) f (x ) g(x) 24.) Vf(x) 25.) Vf(x) +8(x) 26.) f3 (x)g(x) 1 28.) f(x) 27.) 29.) f(8(x)) Vg(x) f(x)+8(x) 30.) 8(f (x) ) 31.) f(f (x) ) 32.) g(8(x))
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