Let and , where is a constant. If the slope at is , determine the value of…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let

x=t^{3}+kt

and

y=t^{2}+1

, where

k

is a constant. If the slope

\dfrac{dy}{dx}

t=1

1

, determine the value of

k

. (a)

k = 1

(b)

k = -1

(c)

k = -2

(d)

k = -5

Related theory

Advanced Differentiation
Implicit and parametric differentiation
Derivatives of parametric functions
Continuity and Differentiability

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