1. use the definition of a derivative to find the derivatives of the following funtions, a, b, and c
2. assume that f is a differntiable function and c is a real constant, and prove that (c•f(x))'=c•f'(x)

$k (x) = ? 10 3 x ? 2$ 2. Assume that $f$ is a differentiable function and $c$ is a real constant, and prove that $(c ? f (x))^{?} = c ? f^{?} (x)$ 1. Use the definition of derivative to find the derivatives of the following functions. (a) $f (x) = 2 x^{2} + 10$ (b) $g (x) = ? \frac{5 x + 4}{2 ( 5 x ? 2 )}$

Question

1. use the definition of a derivative to find the derivatives of the following funtions, a, b, and c
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2. assume that f is a differntiable function and c is a real constant, and prove that (c•f(x))'=c•f'(x)

k (x) = ? 10 3 x ? 2

2. Assume that

f

is a differentiable function and

c

is a real constant, and prove that

(c ? f (x))^{?} = c ? f^{?} (x)

1. Use the definition of derivative to find the derivatives of the following functions. (a)

f (x) = 2 x^{2} + 10

(b)

g (x) = ? \frac{5 x + 4}{2 ( 5 x ? 2 )}

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