Question

1) Obter a derivada das funçoes:
a) f(x) = (2+5x)^5
b) f(x) = 1 / (x^2 -3x-2)^5
c) f(x) = ( 2+5x)^5

d) f(x) = raiz3 de 2x+1

Answer 1

Resposta:

a) f(x) = (2+5x)^5

f'(x)=5*(2+5x)^4 * 5 =25*(2+5x)^4

b) f(x) = 1 / (x^2 -3x-2)^5

f'(x) =-5 * (x²-3x-2)^(-6)  * ( 2x-3)

f'(x)=-5*(2x-3)/(x²-3x-2)^6

c) f(x) = ( 2+5x)^5

f'(x) =5*(2+5x)^4  * 5 =25*(2+5x)^4

d) f(x) = ∛(2x+1)

f'(x)=(1/3)*(2x+1)^(-2/3)  * 2

f'(x)=(2/3)/∛(2x+1)²