مشتق

Let us learn what exactly a derivative means in calculus and how to find it along with rules and examples. Thus, whenever we see the phrases like "slope/gradient", "rate of change", "velocity (given the displacement)", "maximize/minimize" etc then it means that the concept of derivatives is involved. The three basic derivatives of the algebraic , logarithmic / exponential and trigonometric functions are derived from the first principle of differentiation and are used as standard derivative formulas . They are as follows. Further, we can find the second-order partial derivatives also like ∂2f/∂x2, ∂2f/∂y2, ∂2f/∂x ∂y, and ∂2f/∂y ∂x. The concept of slope, and hence the derivatives, is used to find the maximum or minimum value of a function. There are two tests that use derivatives and are used to find the maxima/minima of a function. They are The second derivative test uses the critical points and the second derivative to find the maxima/minima. To perform this test: Since the velocity is positive, the object is moving to the right side. Indulging in rote learning, you are likely to forget concepts. With Cuemath, you will learn visually and be surprised by the outcomes.