Question

Obtener la primera y segunda derivada de f(x)= 2x³-5x²-7x+10.​

Answer 1

Explicación paso a paso:

Calculando la primera derivada ( $f'(x)$ ) :

$f'(x)=3(2)x^{3-1} -2(5)x^{2-1} -1(7)x^{1-1} +0\\f'(x)=6x^2-10x-7x^0\\f'(x)=6x^2-10x-7(1)\\f'(x)=6x^2-10x-7$

Calculando la segunda derivada ( $f''(x)$ ) :

$f''(x)=2(6)x^{2-1} -1(10)x^{1-1} -0\\f''(x)=12x-10x^0\\f''(x)=12x-10(1)\\f''(x)=12x-10$