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Use the function below to answer parts (a)-(c). f(x) = (a) Use the formal definition to find the derivative of y = f(x) at x
Use the function below to answer parts (a)-(c). f(x) = (a) Use the formal definition to find the derivative of y = f(x) at x = 2. (b) Find f(2) and find the equation of the normal line at the point (2, f(2)). (c) Graph y = f(x) and the tangent line at the point (2, f(2)) in the same coordinate systemUse the formal definition to find the derivative of g(x) = ,/ 11x at x = 3. Find g' (x) for the given function. g'(x) =2 Use the formal definition to nd the derivative of Ex}: m at x = Er. Find t't}. Select the correct choice below and, if necessary: ll in the answer box to complete your choice. {3. h. HE} = {Type an integer or a fraction.) {3' E. The derivative does not exist. Find an equation for the tangent line to the graph of the given function at {4:13}. for}? +2 Find an equation for the tangent line to the graph of x} =x2 + 2 311:4:13}. FD Find the equation of the tangent line to the graph of f(x) = - at X The equation of the tangent line is y =Find the equation of the tangent line to the curve y = 9%x at the point (4, 18). The equation of the tangent line at (4, 18) is y =Find the equation of the tangent line to the curve y = 2x" - 7x + 5 at the point (1, 0). The equation for the line tangent to the function at x = 1 is y = (Type an expression.)
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