At x = 1 the tangent line to the graph of u = g(x) has slope 0.5

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

At x = 1 the tangent line to the graph of u = g(x) has slope 0.5, and the tangent line to the graph of y = f(u) at u = g(1) has slope –4. Estimate

\dfrac{dy}{dx}

at x = 1 for y = f(g(x)). (a)

-8

(b)

2

(c)

-2

(d)

4