Question

In case of decreasing functions, slope of tangent and hence derivative is ____________.

Options

• Either negative or zero

• Negative

• Positive

• Zero

Answer 1

In case of decreasing functions, slope of tangent and hence derivative is Either negative or zero.

Explanation:

Because a declining function changes its sign from positive to negative, the slope of the tangent and hence the derivative is either negative or zero, resulting in an obtuse angle measured clockwise. As a result, the value is negative and will be zero at the summit.