Basic Differentiation Azlan

Find the derivative of the given equation
f(s) = 12 - 8s

• -8x
• -8s
• -8
• 12 - 8

 $y=x^7$  Differentiate

•  $\frac{\text{d}y}{\text{d}x}=7x^6$  

•  $\frac{\text{d}y}{\text{d}x}=x^6$  

•  $\frac{\text{d}y}{\text{d}x}=7x^7$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{x^6}{7}$  

Differentiate

 $y=3$  

•  $\frac{\text{d}y}{\text{d}x}=3$  

•  $\frac{\text{d}y}{\text{d}x}=3x$  

•  $\frac{\text{d}y}{\text{d}x}=0$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{1}{3}$  

 Differentiate 

 $\text{y}=2x^{-3}$ 

•  $\frac{\text{d}y}{\text{d}x}=6x^{-2}$  

•  $\frac{\text{d}y}{\text{d}x}=6x^{-4}$  

•  $\frac{\text{d}y}{\text{d}x}=2x^{-4}$  

•  $\frac{\text{d}y}{\text{d}x}=-6x^{-4}$  

Differentiate

 $y=4x^3+15$  

•  $\frac{\text{d}y}{\text{d}x}=4x^2+15x$  

•  $\frac{\text{d}y}{\text{d}x}=12x^2$  

•  $\frac{\text{d}y}{\text{d}x}=12x^2+15x$  

•  $\frac{\text{d}y}{\text{d}x}=12x^4$