IB Calculus Problem 9
Let \(f(x) = kx^4\). The point \(P(1 ; k)\) is on the curve of \(f\). At \(P\), the normal to the curve is parallel to \(y = -\frac{1}{8}x\).
Find the value of \(k\).
Let \(f(x) = kx^4\). The point \(P(1 ; k)\) is on the curve of \(f\). At \(P\), the normal to the curve is parallel to \(y = -\frac{1}{8}x\).
Find the value of \(k\).