# What is the equation of the line tangent to #f(x)=2x^3 - x^2-x # at #x=4#?

This is what we are given:

Now we take the derivative using the power rule which states:

Now we use the point slope formula which is:

Solve it:

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The equation of the line tangent to f(x)=2x^3 - x^2-x at x=4 is y = 95x - 222.

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