Math  /  Calculus

QuestionFind the derivative of the function f(x)=x5 f(x) = x^5 .

Studdy Solution

STEP 1

STEP 2

Recordar la regla de derivación para potencias: Si f(x)=xn f(x) = x^n , entonces su derivada es f(x)=nxn1 f'(x) = nx^{n-1} .

STEP 3

Aplicar la regla de derivación a f(x)=x5 f(x) = x^5 :
f(x)=5x51 f'(x) = 5x^{5-1}

STEP 4

Simplificar el resultado:
f(x)=5x4 f'(x) = 5x^4
La derivada de la función f(x)=x5 f(x) = x^5 es:
5x4 \boxed{5x^4}

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