Find the $x$-coordinate on the curve ${{x}^{\frac{7}{2}}}-{{y}^{\frac{7}{2}}}=1$ where the gradi

Question

Find the $x$-coordinate on the curve ${{x}^{\frac{7}{2}}}-{{y}^{\frac{7}{2}}}=1$ where the gradient of the tangent is $32$, leaving your answer in radical form.

Accepted Answer

$x=\dfrac4{\sqrt[7]{16129}}$.

Techniques of Differentiation - Implicit Differentiation

Techniques of Differentiation - Implicit Differentiation

Solution:

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