1. Use the limit definition to compute the derivatives of the following functions. (a) f(x) =...

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1. Use the limit definition to compute the derivatives of the following functions. (a) f(x) = x 1 (b) g(t) = - (c) k(z) = 1 z+1 2. Use linear approximation to estimate the following quantities. (a) 148 (b) 32.2 1 (c) (2.1) 3 3. Let f(x) be given by the equation ax, x < 2 f(x) = 2x + b, x 2 Find the values of a and b that make f(x) differentiable. 1. Let g(t) be given by the equation Stet, xb g(t) = t, x > b (a) Find the value of b that make f(x) continuous. (b) For the value of b you found, is f(x) differentiable? 1. Use the limit definition to compute the derivatives of the following functions. (a) f(x) = x 1 (b) g(t) = - (c) k(z) = 1 z+1 2. Use linear approximation to estimate the following quantities. (a) 148 (b) 32.2 1 (c) (2.1) 3 3. Let f(x) be given by the equation ax, x < 2 f(x) = 2x + b, x 2 Find the values of a and b that make f(x) differentiable. 1. Let g(t) be given by the equation Stet, xb g(t) = t, x > b (a) Find the value of b that make f(x) continuous. (b) For the value of b you found, is f(x) differentiable?