Let be a non-zero constant

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let

k

be a non-zero constant. The curve is defined by

x = t^2 + 2k t

and

y = k t^3 - 1

. Determine

\dfrac{dy}{dx}

at

t = -k

in terms of

k

.

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