Differentiating a function, A straight line has a constant gradient, or in other words, the rate of change of y with respect to x is a constant. Example Consider the straight line y = 3x + 2 We can calculate the gradient of this line as follows. We take two points and calculate the change in y divided by the change in x. When x changes from −1 to 0, y changes from −1 to 2, and so No matter which pair of points we choose the value of the gradient is always 3. y is a function of x, so y =f(x) f(x1) = y1 and f(x2) =y2 x2-x1=dx, x2= x1+dx, By substitituting these terms in slope formula, we have; m =[ f(x1 + dx) - f(x1)]/dx, as the limit of dx approaches 0 Seven steps to avoit the spread of Corona Virus (Covid19): If you find this video interesting, kindly subscribe to my channel for more exciting Maths tutorials. Subscribe link: #Differentiation #First #Principles WhatsApp group: Facebook: Instagram: Linkedin: Blog:
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