Question

Find the derivative of (3x+1)(x+5)

Answer 1

6x+16

Explanation:

`(d)/(dx) [(x+5)(3x+1)]\\=(d)/(dx) [x+5]*(3x+1)+(x+5)*(d)/(dx) [3x+1]\\=((d)/(dx) [x]+(d)/(dx) [5])(3x+1)+(x+5)(3*(d)/(dx) [x]+(d)/(dx) [1])\\=(1+0)(3x+1)+(x+5)(3*1+0)\\=3(x+5)+3x+1\\Simplify/Rewrite\\=6x+16`

Answer 2

Answer : 6x + 16

Hope this helps!

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