Question

Dada lafunción  f(x)=√x + 3 ∛x  + 2calcule la primera derivada de la función evaluado enx =1.

Answer 1

$\mathbb{HOLA} \\ \\f(x)= \sqrt{x} +3 \sqrt[3]{x}+2 \\ \\ f(x)= x^{1/2}+3x^{1/3} +2 \\ \\ derivando \\ \\ f(x)'= \frac{1}{2} x^{-1/2} +3. \frac{1}{3} x^{-2/3} \\ \\ f(x)'= \frac{1}{2 \sqrt{x} }+ \frac{1}{ \sqrt[3]{x\²} } ~~--\ \textgreater \ evaluando~en~[x=1] \\ \\\boxed{ f(1)'= \frac{3}{2}}$