I apologize if I'm posting in the wrong section. Question: Find the gradient of the curve y = 5/x^4 at the point where x = 2. Thanks in advance.
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1. Find $\displaystyle \dfrac{dy}{dx}$ 2. Put x = 2 in $\displaystyle \dfrac{dy}{dx}$ 3. Simplify. That's it
$\displaystyle y=5x^{-4}$ $\displaystyle \frac{dy}{dx}=5(-4)x^{-4-1} = -20x^{-5}$ Now put x=2.
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