Question

Determine a derivada F(X)=5X² NO PONTO XO =5

Answer 1

f'x=5x^2=>
f'x=>10x
f(5)=>10(5)=50
espero ter ajudado

Answer 2

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Derivada no ponto

$\huge\boxed{\boxed{\boxed{\boxed{\displaystyle\sf f'(a)=\lim_{x \to a}\dfrac{f(x)-f(a)}{x-a}}}}}$

$\sf f(x)=5x^2\\\sf f(5)=5\cdot 5^2\\\displaystyle\sf f'(5)=\lim_{x \to 5}\dfrac{5x^2-5\cdot5^2}{x-5}\\\displaystyle\sf f'(5)=\lim_{x \to 5}\dfrac{5\cdot(x^2-5^2)}{x-5}\\\displaystyle\sf f'(5)=\lim_{x \to 5}\dfrac{5\cdot\diagup\!\!\!\!\!(x-\diagup\\!\!\!\!5)(x+5)}{\diagup\!\!\!\!\!x-\diagup\!\!\!\!\!5}\\\displaystyle\sf f'(5)=5\lim_{x \to 5}x+5=5\cdot(5+5)\\\sf f'(5)=5\cdot10\\\huge\boxed{\boxed{\boxed{\boxed{\sf f'(5)=50\checkmark}}}}$