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DFCCIL Executive S&T 2018 Official Paper

Option 4 : -1

CT 1: Current Affairs (Government Policies and Schemes)

55064

10 Questions
10 Marks
10 Mins

**Concept:**

The gradient at a point in a curve is defined as the Tangent to that point.

\(Δ f(x,y,z)= \frac{\delta f(x,y,z)}{\delta x}+\frac{\delta f(x,y,z)}{\delta y}+\frac{\delta f(x,y,z)}{\delta z}\)

**Analysis:**

Given that y = 3x2 - 7x + 2

\(\frac{dy}{dx}= {\frac{d(3x^2 -7x + 2)}{dx}}|_{(1,-2)}\)

\(\frac{dy}{dx}= {6x -7}|_{(1,-2)}\)

gradient of y = -1

Hence **option (4) is correct**