Let . The point lies on the curve of . At , the normal to the curve is parallel to .…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let

f(x) = kx^4

. The point

P(1, k)

lies 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

Related theory

Straight Lines
Differentiation Rules
Tangents and normals
Intuitive idea of derivatives
Limits and Derivatives

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