About: Applications of differentiation   Sponge Permalink

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Applications of differentiation include: * Finding the slope (or equation) of the tangent line to the graph of a function at a point * Finding the slope or equation of the tangent line to the graph of an equation at a point (using implicit differentiation) * Locating absolute or local extrema on a graph (using critical points) * Linear approximation of a function value * Estimating the change in a quantity using differentials * Estimating the velocity, acceleration of a moving body * Knowing the behaviour of a function in the number line (change in curvature)

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  • Applications of differentiation
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  • Applications of differentiation include: * Finding the slope (or equation) of the tangent line to the graph of a function at a point * Finding the slope or equation of the tangent line to the graph of an equation at a point (using implicit differentiation) * Locating absolute or local extrema on a graph (using critical points) * Linear approximation of a function value * Estimating the change in a quantity using differentials * Estimating the velocity, acceleration of a moving body * Knowing the behaviour of a function in the number line (change in curvature)
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abstract
  • Applications of differentiation include: * Finding the slope (or equation) of the tangent line to the graph of a function at a point * Finding the slope or equation of the tangent line to the graph of an equation at a point (using implicit differentiation) * Locating absolute or local extrema on a graph (using critical points) * Linear approximation of a function value * Estimating the change in a quantity using differentials * Estimating the velocity, acceleration of a moving body * Knowing the behaviour of a function in the number line (change in curvature)
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