Question

A derivada das funções f(x) = 5x2 + 7 e f (x) = square root of x , são respectivamente:

I) 10x e square root of x

II) 5x2 + 7 e bevelled fraction numerator 1 over denominator 2 square root of x end fraction

III) 10x e bevelled fraction numerator 1 over denominator 2 square root of x end fraction

IV) 5x e square root of x

Podemos afirmar que a alternativa correta é:

Escolha uma:
a. I
b. III
c. IV
d. II

Answer 1

$f(x)=5x^2 + 7$

$\boxed{ f'(x)= 10x}$

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$f(x)=\sqrt{x}$

$f(x)= x^{ \frac{1}{2}}$

$f'(x)= \frac{1}{2} (x)^ \frac{-1}{2} . 1$

$f'(x)= \frac{1}{2} ( \frac{1}{ \sqrt{x} } )$

$\boxed {f'(x)= \frac{1}{2 \sqrt{x} } }$

Alternativa III -  Letra  B