State whether true or false: The slope of the tangent at any point (a, b) is called as gradient of the curve.
Q.1 (B) (i) State whether true or false: The slope of the tangent at any point (a, b) is called as gradient of the curve.
Q.1 (B) (i) State whether true or false: The slope of the tangent at any point (a, b) is called as gradient of the curve.
Best answer
Answer: True
The slope of the tangent to \(y=f(x)\) at \((a,b)\) is \(\left(\frac{dy}{dx}\right)_{(a,b)}\); this value is called the gradient of the curve at that point.
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