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Assume f and g are differentiable functions with h(x) = f(g(x)). Suppose the equation of the line tangent to the graph of g at the point (4,1) is y = 2x - 7 and the equation of the line tangent to the graph of f at (1,5) is y = 4x+ 1. Calculate h(4) and h'(4). Determine an equation of the line tangent to the graph of h at the point on the graph where x=4. Show transcribed image text Assume f and g are differentiable functions with h(x) = f(g(x)). Suppose the equation of the line tangent to the graph of g at the point (4,1) is y = 2x - 7 and the equation of the line tangent to the graph of f at (1,5) is y = 4x+ 1. Calculate h(4) and h'(4). Determine an equation of the line tangent to the graph of h at the point on the graph where x=4.
Assume f and g are differentiable functions with h(x) = f(g(x)). Suppose the equation of the line tangent to the graph of g at the point (4,1) is y = 2x - 7 and the equation of the line tangent to the graph of f at (1,5) is y = 4x+ 1. Calculate h(4) and h'(4). Determine an equation of the line tangent to the graph of h at the point on the graph where x=4.
Show transcribed image text Assume f and g are differentiable functions with h(x) = f(g(x)). Suppose the equation of the line tangent to the graph of g at the point (4,1) is y = 2x - 7 and the equation of the line tangent to the graph of f at (1,5) is y = 4x+ 1. Calculate h(4) and h'(4). Determine an equation of the line tangent to the graph of h at the point on the graph where x=4.1
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Sixta KovacekLv2
13 Aug 2019