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# Derivatives and Tangent Lines

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a. Find f'(x) where f(x)= 3x4 + 2 -
b. Find the equation of the tangent line at x=1 for the function f(x) from part a.
c. Find for y=2lnx+5x -2log3x

https://brainmass.com/math/derivatives/derivatives-tangent-lines-165592

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a. Find f'(x) where f(x)= 3x4 + 2 -

Using the basic formula

b. Find the equation of the tangent line at x=1 for the function f(x) from part a.
The slope of the tangent line is the derivative

So the point is (1, 1).
Therefore, the tangent line has slope 74/3 and passes through point (1, 1).
The line equation is

c. Find for y=2lnx+5x -2log3x

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!