Find the differential

Question

Let y=tan(5x+6).

Find the differential dy when x=4 and dx=0.4
Find the differential dy when x=4 and dx=0.8

Answer 1

Hi Dalia,

 

On differentiating the expression with respect to x you will get,

 

dy/dx = 5 sec^2(5x+6)

 

dy = dx*5*sec^2(5x+6)  

 

You can now substitute the value of x and dx and get the respective dy