Use the chain rule.
Let u(x) = 6x^2 + 5x + 1
f(x) = u(x)^3/2
df/dx = df/du*du/dx
= (3/2)*sqrt(6x^2 + 5x + 1)*(12x + 5)
Differentiate.
sqrt((6x^2 + 5x + 1)^3)
2 answers
In google type:
wolfram alpha
When you see list of results click on:
Wolfram Alpha:Computation Knowledge Engine
When page be open in rectangle type:
sqrt((6x^2 + 5x + 1)^3)
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After few seconds you will see everything about that functions.
Then click option:
Derivative: Shov steps
wolfram alpha
When you see list of results click on:
Wolfram Alpha:Computation Knowledge Engine
When page be open in rectangle type:
sqrt((6x^2 + 5x + 1)^3)
and click option =
After few seconds you will see everything about that functions.
Then click option:
Derivative: Shov steps