Question

Derivada da função f(x)=3vx+5'3vx+10

Answer 1

Segue a resposta da derivada da função Patrícia :)

$xf(x)=3 \sqrt{x}+5^3 \sqrt{x+10} \\ \\ f(x)=3(x)^{ \frac{1}{2} }+125(x+10)^{ \frac{1}{2} } \\ \\ f'(x)=3 \frac{1}{2}(x)^{ \frac{1}{2}-1 }+125. \frac{1}{2}(x+10)^{ \frac{1}{2}-1 }.(x+10)' \\ \\ f'(x)=\frac{3}{2}(x)^{ -\frac{1}{2} }+ \frac{125}{2}(x+10)^{ -\frac{1}{2} }.1 \\ \\ f'(x)=\frac{3}{2(x)^{\frac{1}{2}}}+ \frac{125}{2(x+10)^{ \frac{1}{2} }} \\ \\ f'(x)=\frac{3}{2 \sqrt{x} }}+ \frac{125}{2 \sqrt{x+10} }}$