Find k such that y = 4x + 4 is tangent to f(x) = k*sqrt(x)

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Find k such that y = 4x + 4 is tangent to f(x) = k*sqrt(x). Very nice Calculus problem where you have to think.
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I just found your videos, and I cannot tell you how helpful these are. Clearly explained with simple steps.

nicolekuperman
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This tutorial helped so much, thank you!

nicolespinelli
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is k a constant? Why don't we have to use the product rule for derivatives?

epb
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you're a life-saver, man! thanks a bunch!

PsychoticAnchovies
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this was so incredibly helpful THANK YOU!!

rnelson_
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What if you have k-x^2 tho? Finding it's derivative would make k disappear because it is a constant so how can you solve for k?

alexthompson