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The gradient of the curve y = 2x3 –5x2 – 3x at x = 0 is
- a)3
- b)–3
- c)1/3
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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The gradient of the curve y = 2x3 –5x2 – 3x at x = 0 isa)3...
Given function: y = 2x^3 - 5x^2 - 3x
To find the gradient of the curve at x = 0, we need to find the derivative of y with respect to x.
Derivative of y with respect to x:
dy/dx = 6x^2 - 10x - 3
Substituting x = 0, we get:
dy/dx at x = 0 = 6(0)^2 - 10(0) - 3 = -3
Therefore, the gradient of the curve at x = 0 is -3.
Option B, 3, is the correct answer, as it is the negative of the gradient at x = 0.
To find the gradient of the curve at x = 0, we need to find the derivative of y with respect to x.
Derivative of y with respect to x:
dy/dx = 6x^2 - 10x - 3
Substituting x = 0, we get:
dy/dx at x = 0 = 6(0)^2 - 10(0) - 3 = -3
Therefore, the gradient of the curve at x = 0 is -3.
Option B, 3, is the correct answer, as it is the negative of the gradient at x = 0.
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