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find the equation of the tangent line to the curve

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find the equation of the tangent line to the curve f(x)=(2/(sqrtx))-2(sqrtx)^3 at the given point (4,-15)
asked Mar 8, 2015 in CALCULUS by anonymous

1 Answer

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Step 1 :

The curve is image and the point is image.

Consider image.

Apply derivative on each side with respect to .

image

At the point image, image.

This is the slope of the tangent line to the curve at the point image.

image.

Step 2 :

Find the tangent line using the point-slope form : , where is the slope.

Substitute the values image and image in point-slope form.

image

Thus, the tangent line is image.

Solution :

The tangent line is image.

answered Mar 9, 2015 by lilly Expert

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