Question
Find the slope of the tangent line to the curve $y=\left(x^{2}-15\right)^{6}$ at $x=4 .$ Then write the equation of this tangent line.
Step 1
We can use the chain rule for this, which states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. The outer function here is $u^{6}$ and the inner function is $x^{2}-15$. So, we Show more…
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