question archive Let f and g be differentiable tundions

Let f and g be differentiable tundions

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Let f and g be differentiable tundions. Suppose the tangent line to y =t[)<) at x = 1 is y = — 3x + 2 and the tangent line to y = gix) at x = 3 is y: — 3x + 11] Use this information in parts (a) and (bi. L—J (a) Let h(x] = (f a g}{x)_ Find h'[3) and an equation of the tangent line to y = h{)() at x = 3. h'(3] = and the tangent line has equation (b) Let p(x] = 13x sin (1:10)). Find p'('i) and an equation of the tangent line to y: p(x) at x = 1. p'(1] = and the tangent line has equation

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