y=5(x^2 +3x + 2)^3 find dy/dx
Answers
Answered by
3
Answer:
Y=log(5x^2+3x+2)....given
therefore , diff^n b.s w.r.x.
dy/dx=d/dxl[og(5x^2+3x+2)]
By chain rule,
=(1/5x^2+3x+2)*d/dx(5x^2+3x+2)
=[10x+3/5x^2+3x+2]
Step-by-step explanation:
Answered by
55
Given :
- y = 5(x² + 3x + 2)³
To Find :
Solution :
Let x² + 3x + 2 = u. Then y = 5u³
• Differentiating y with respect to u ;
• By applying , . We get ;
Now , differentiating u with respect to x ;
• By applying , . We get ;
• We know that a⁰ = 1. ;
• Differentitation of a Constant is "zero".
• Now by applying chain rule i.e ,
• From eq(1) & eq(2) . We get ;
• Since u = x² + 3x + 2 ;
Similar questions