143 results authored by Marlon Arcila - search across all users.
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A basic introduction to differentiation
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Implicit differentiation.
Given x2+y2+dxy+ax+by=c find dydx in terms of x and y.
Also find two points on the curve where x=0 and find the equation of the tangent at those points.
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Implicit differentiation.
Given x2+y2+ax+by=c find dydx in terms of x and y.
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Using differentiation to find the tangent and normal to a line at a given point
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Real life problems with differentiation
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axb+cxd+f at x=n
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Finding the stationary points of a cubic with two turning points
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Differentiating the natural logarithm
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2ex3+4ex
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2ex3+4ex
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2ex3+4ex
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Differentiate f(x)=(ax+b)/√cx+d and find g(x) such that f′(x)=g(x)/(2(cx+d)3/2).
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The derivative of ax+bcx2+d is of the form g(x)(cx2+d)2. Find g(x).
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Differentiate f(x)=xm(ax+b)n.
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Differentiate the function f(x)=(a+bx)menx using the product rule. Find g(x) such that f′(x)=(a+bx)m−1enxg(x).
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Differentiate xmcos(ax+b)
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Differentiate sin(ax+b)enx.
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Using the chain rule within product rule problems
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More work on differentiation with trigonometric functions
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More work on differentiation with trigonometric functions
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Differentiation of trigonometric functions
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More work on differentiation with fractional coefficients
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More work on differentiation with fractional coefficients and powers
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More work on differentiation with fractional coefficients
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Given a graph of a line of the form y=ax+b where a and b are integers, find the equation of the line. The y-intercept is given.
