1). f(x)=4x-5, f ' (x) = 4
2). f(x)=6x⁴-3х³-2х²-8, f ' (x) = 6*4x³ - 3*3x² -2*2x = 24x³ - 9x² - 4x
3). f(x)=5х³-4√x, f ' (x) = 5*3x² - 4*(1/2)x^(-1/2) = 15x² - 2/√x
4). f(x)=(4х-1) /(2х+5), f ' (x) = (4*(2х+5) - 2(4x-1)) / (2х+5)² = (8x+20-8x+2) / (2х+5)² = 22 / (2х+5)²
5). f(x)=xcosx, f ' (x) = cosx + x*(-sinx) = cosx-xsinx
6). f(x)=(1+3x)²⁰, f ' (x) = 20*(1+3x)¹⁹ * 3 = 60(1+3x)¹⁹
1). f(x)=4x-5, f ' (x) = 4
2). f(x)=6x⁴-3х³-2х²-8, f ' (x) = 6*4x³ - 3*3x² -2*2x = 24x³ - 9x² - 4x
3). f(x)=5х³-4√x, f ' (x) = 5*3x² - 4*(1/2)x^(-1/2) = 15x² - 2/√x
4). f(x)=(4х-1) /(2х+5), f ' (x) = (4*(2х+5) - 2(4x-1)) / (2х+5)² = (8x+20-8x+2) / (2х+5)² = 22 / (2х+5)²
5). f(x)=xcosx, f ' (x) = cosx + x*(-sinx) = cosx-xsinx
6). f(x)=(1+3x)²⁰, f ' (x) = 20*(1+3x)¹⁹ * 3 = 60(1+3x)¹⁹