tentukan turunan fungsi a.f(x)=5x3+3 b.f(x)=25-4x2 c.f(x)=(312-3x4)3 d.f(x)=sin(4x3--x2) e.f(x)=cos(2x2+x)

Turunan
y=  axⁿ --> y' = n (a) xⁿ⁻¹
a. f()= 5x³ + 3 -->  f' (x)= 15 x²

b. f(x)= 25 - 4x² -> f ' (x)= -8x

c. f(x)= (312 - 3x⁴)³  --> f ' (x)= 3(312 - 3x⁴)³ (12x³) =  36x³ (312 - 3x⁴)³

d. f(x)= y =  sin (4x³ - x²)
u = 4x³ -x²
du/dx = 12x² - 2x
y =sin u
dy/du = cos u

dy/dx = dy/du x du/dx
y' = cos u  . (12x² - 2x)
y' = (12x² -2x) cos (4x³ - x²)

e. f(x)= y= cos(2x² + x)
u = 2x² + x --> du/dx = 4x + 1
y = cos u --> dy/du = - sin u

y' = dy/dx = dy/du. du/dx
y' = (4x+1)(- sin (2x² +x))
y' = -(4x+1) sin (2x²+x)
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