Aus Online Mathematik Brückenkurs 2

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{{NAVCONTENT_START}} The derivative f'(-4)gives the function's instantaneous rate of change at the point x=-4, i.e. it is a measure of the function's value changes in the vicinity of x=-4. In the graph of the function, this derivative is equal to the slope of the tangent to the curve of function at the point x=-4. [[Image:1_1_1_a1.gif|center]] Because the tangent is sloping upwards, it has a positive gradient and therefore f'(-4)>0. At the point x=1, the tangent slopes downwards and this means that f'(1)<0. [[Image:1_1_1_a2.gif|center]] {{NAVCONTENT_STOP}}

• 1.1 - Figure - Lösung - The graph of f(x) in exercise 1.1:1a with the tangent line at x = -5
• 1.1 - Figure - Lösung - The graph of f(x) in exercise 1.1:1a with the tangent line at x = 1

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