Question

Calcule a derivada nos pontos:

a) f (x) = 2x² + 10x - 3 no ponto x= 4

b) f (x) = 3x² - 7x + 2 no ponto x= 3

c) f (x) = 2x^5 - 4x³ - 2x² - 6x + 5 no ponto x= 1

d) f (x) = 8x³ - 9x² - 23x no ponto x= -3

e) f (x) = x³ + 4x² - 8x + 12 no ponto x= 5

Answer 1

a) f(x) = 2x²+10x-3
f'(x) = 4x+10
f'(4) = 4×4+10 = 16+10 = 26

b) f(x) = 3x²-7x+2
f'(x) = 6x-7
f'(3) = 6×3-7 = 18-7 = 11

c) f(x) =2x^5-4x³-2x²-6x+5
f'(x) = 10x^4-12x²-4x-6
f'(1) =10-12-4-6 = -12

d) f(x) = 8x³-9x²-23x
f'(x) = 24x²-18x-23
f'(-3) = 24(-3)²-18(-3)-23 = 247

e) f(x) = x³+4x²-8x+12
f'(x) = 3x²-8x-8
f'(5) = 3(5)²-8(5)-8 = 27