(a) f(x) = x^3 + 4x – 6 (b)f(x) = (x – 2)(2x + 3) (c)f(x) = 1/4(x^4 + 4) (d) f(x) = – 2x/x^5 (e) f(x) = √(5&x) + 4√(x^5 ) (f) f(x) = (x^2+ 4x+3)/√x , Tentukan turunannya!

Tentukanlah turunan setiap fungsi beriku!

(a) f(x) = x^3 + 4x – 6

Jwb: f(x)^’ = (d(x^3))/dx + (d(4x))/dx – (d (6))/dx = 3x^2+ 4

(b)  f(x) = (x – 2)(2x + 3)

Jwb: f(x)^’ = (1)(2x + 3) + (x – 2)(2) = 2x + 3 + 2x – 4 = 4x – 1

(c)  f(x) = 1/4(x^4 + 4)

Jwb: f(x)^’ = x^3

(d)  f(x) = – 2x/x^5

Jwb: f(x)^’ = ((- 2)(x^5 )- (2x)(5x^4))/x^5^2 = (-2x^5- 10x^5)/x^10 = (-12x^5)/x^10 = -12x^(-5)

(e) f(x) = √(5&x) + 4√(x^5 )

Jwb: f(x)^’= (d(x^(1/5)))/dx + (d(4 x^(5/2))/dx = 1/5 x^((- 4)/5) + 10 x^(3/2)

(f)   f(x) = (x^2+ 4x+3)/√x

Jwb:

f(x)^’= ((d(x^2+ 4x+3)/dx)(√x)- (x^2+ 4x+3)((d(√(x)))/dx))/√x^2

f(x)^’= ((2x+4)(√x)-(x^2+ 4x+3)(1/(2√(x)))))/x

f(x)^’= (2x^(3/2)+ 4x^(1/2)-x^(3/2)/2-2x^(1/2)- (3x^((-1)/2))/2)/x

f(x)^’= (3x^(3/2)/2+2x^(1/2)- (3x^((-1)/2))/2 )/x

for more detailed writing click on the following link (a) f(x) = x^3 + 4x – 6 (b)f(x) = (x – 2)(2x + 3) (c)f(x) = 1/4(x^4 + 4) (d) f(x) = – 2x/x^5 (e) f(x) = √(5&x) + 4√(x^5 ) (f) f(x) = (x^2+ 4x+3)/√x , Tentukan turunannya!