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Find point c between where, the slope of tangent to the function f(x) = x2+3x+2 at point c is equals to the slope of a line joining point (-1,f(-1)) and (6,f(6)). (Providing given function is continuous and differentiable in given interval).

Find point c between where, the slope of tangent to the function f(x) = x2+3x+2 at point c is equals to the slope of a line joining point (-1,f(-1)) and (6,f(6)). (Providing given function is continuous and differentiable in given interval). Correct Answer where, the slope of tangent to the function f(x) = x2+3x+2 at point c is equals to the slope of a line joining point (-1,f(-1)) and (6,f(6)). (Providing given function is continuous and differentiable in given interval). ] 2.5

Since the given function is continuous and differentiable in a given interval, f(-1) = 0 f(6) = 56 Applying mean value theorem, f’(c) = 2c+3 = / = 56/7 = 8 c = 5/2 c = 2.5.

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