Find the derivative of ln &#x2061;<!-- ⁡ 7 + 3 5 x + 6 x

Tristan Meyers

Tristan Meyers

Answered question

2022-05-12

Find the derivative of ln ( 7 + 3 ( 5 x + 6 x 2 + 3 x 4 + 6 x 5 ) ).

Answer & Explanation

Ellie Meyers

Ellie Meyers

Beginner2022-05-13Added 15 answers

Differentiate using the chain rule, which states that ddx[f(g(x))] is f(g(x))g(x) where f(x)=ln(x) and g(x)=7+3(5x+6x2+3x4+6x5).

17+3(5x+6x2+3x4+6x5)ddx[7+3(5x+6x2+3x4+6x5)]

Differentiate.

37+3(5x+6x2+3x4+6x5)(5+12x+12x3+30x4)

Simplify.

3(5+12x+12x3+30x4)7+15x+18x2+9x4+18x5


 

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