Question

4. Encontre os zeros (raizes) das seguintes funções:
a) y = 3x + 4
b) y = 18 - 3x
c) y = 4x
d) y = 1/5 * x + 10​

Answer 1

Resposta:

$\rm \bf{A) \: y = 3x + 4}$

$\bf{y = \frac{d}{d \: x}(3x + 4) }$

$\bf{y = \frac{d}{dx}(3x) + \frac{d}{dx} (4) }$

$\bf{y = 3 + \frac{d}{dx}(4) }$

$\bf{y = 3 + 0}$

$\large \bf \rm{ \boxed{\boxed{\boxed{ \red{y = 3}}}}}$

$\large \bf \rm{B) \: y = 18 - 3x}$

$\rm \bf{y = \frac{d}{d \: x}(18 - 3x) }$

$\rm \bf{y = \frac{d}{dx} (18) + \frac{d}{dx}( - 3x) }$

$\rm \bf{y = 0 + \frac{d}{dx} ( - 3x)}$

$\rm \bf{y = 0 - 3}$

$\large \bf \rm{ \boxed{\boxed{\boxed{\red{y = - 3}}}}}$

$\large \bf \rm{C) \: y = 4x}$

$\rm \bf{y = \frac{d}{dx} (4x)}$

$\rm \bf{ \boxed{\boxed{\boxed{\red{y = 4}}}}}$

$\large \bf \rm{D) \: y = \frac{1}{5}x + 10 }$

$\rm \bf{y = \frac{d}{d \: x} \: ( \frac{1}{5}x + 10) }$

$\rm \bf{y = \frac{d}{dx} \: ( \frac{1}{5}x) + \frac{d}{d \: x}(10) }$

$\rm \bf{y = \frac{1}{5} + \frac{d}{dx} (10) }$

$\rm \bf{y = \frac{1}{5} + 0 }$

$\large{ \boxed{ \boxed{\boxed{\red{y = \frac{1}{5} }}}}}$