Question

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

Answer 1

Resposta:

a)f(x) =e^x.cos x

f'(x) =e^(x) * cos(x) + e^(x) * (-cos(x))

b)f(x)= 5x^3.cos x

f'(x) = 15x² * cos(x) + 5x³ * (-sen(x))

c) f(x) = (2x+1)(3x-2)

f'(x) = (2x+1)' * (3x-2) + (2x+1)*(3x-2)' = 2*(3x-2) +(2x+1) * 3

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

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