The gradient of curve y=-2 x³+3 x+5 at x=2 is-

Correct Answer is : −21-21−21

Correct Answer is : −21-21−21

Test Index

Differential Calculus

Question : 59 of 69

Marks: +1, -0

y=-2 x^{3}+3 x+5

x=2

is-

Solution:

Concept:

The gradient of a curve at a point is the value of its derivative at that point.

Explanation:

The given curve is

y = -2x^3 + 3x + 5

Differentiate with respect to

x

\frac{dy}{dx} = -6x^2 + 3

Substitute

x=2

\frac{dy}{dx} = -6(2)^2 + 3 = -6(4) + 3 = -24 + 3 = -21

Thus, the gradient at

x=2

-21

Answer:

The gradient is

-21

, which corresponds to option D.

Go to Question:

Prev Question

Next Question