作业帮show why the linear function has a constant slope and a quadratic one doesnt(英语回答)
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show why the linear function has a constant slope and a quadratic one doesnt(英语回答)
show why the linear function has a constant slope and a quadratic one doesnt(英语回答)
show why the linear function has a constant slope and a quadratic one doesnt(英语回答)
you need to apply the concept of derivative since the slope of the tangent line at any point of a graph is its derivative at that point.
for any linear function y=mx+n (a=/=0),dy/dx (or d(ax+b)/dx) is equal to the coefficient "m",which is independent from the value of x and is therefore always a constant.
however,for a quadratic function y=ax^2+bx+c (a=/=0),dy/dx=2ax+b according to the power rule.Hence the slope is always dependent on x.As x changes along the graph,the slope has to change as well.
这不是应该发到数学的问题吗。。。。线性函数跟二次函数