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Find an equation of the tangent line to the graph of the logarithmic function at the point (1, 0).

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Find an equation of the tangent line to the graph of the logarithmic function at the point (1, 0).

y = ln x^4
asked Jan 27, 2015 in CALCULUS by anonymous
edited Jan 28, 2015 by bradely

1 Answer

0 votes

Step 1 :

The function is image and the point is

Rewrite the expression :

image

Differentiate y  with respect to x.

image

The slope(m) of a tangent line at the point :

Substitute in

image

Step 2 :

Point-slope form of a line equation .

Substitute and the point in above equation.

The equation of a tangent line is

Solution :

The equation of a tangent line is

answered Jan 28, 2015 by Thomas Apprentice

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