Question

12. derivada de T(x)=x*5+7x/x*2-8x​

Answer 1

Respuesta:

T(x) = x^5+7x/x^2-8x

d/dx [T(x) ]  = d/dx [x^5+7x/x^2-8x ]

T'(x) = d/dx [x^5+7x ] * (x^2-8x)-x^5+7x(d/dx[x^2-8x])/(x^2-8x)^2

T'(x)= d/dx[x^5]+d/dx[7x]* (x^2-8x)-x^5+7x(d/dx[x^2]-d/dx[8x])/(x^2-8x)^2

T'(x) = 5x^4+7(x^2-8x)-x^5+7x(2x-8)/(x^2-8x)^2

T'(x) = (5x^6-40x^5+7x^2-56x)-(x^5+14x^2-56x)/(x^2-8x)^2

T'(x) = 5x^6-41x^5-7x^2/(x^2-8x)^2

T'(x) = 5x^6-41x^5-7x^2/x^4-16x^3+64x^2

R// La derivada T(x) = x^5+7x/x^2-8x  es T'(x) = 5x^6-41x^5-7x^2/x^4-16x^3+64x^2

Explicación paso a paso: