To differentiate (4x+2)³ with respect to x, you can use the chain rule.
Let u = 4x+2.
Now, rewrite the given expression as u³.
(d/dx)(u³) = (d/du)(u³) * (du/dx)
The derivative of u³ with respect to u is 3u².
The derivative of u = 4x+2 with respect to x is 4.
Therefore, dy/dx = 3u² * 4.
Substituting u = 4x+2 back into the expression, we have:
dy/dx = 3(4x+2)² * 4
When x = 1:
dy/dx = 3(4(1)+2)² * 4
= 3(6)² * 4
= 3(36) * 4
= 108 * 4
= 432
Differentiate (4x+2)³ with respect to x hence find the value of dy/dx when x=1
1 answer
1 answer