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Consider the following functions f(x) =x^2, g(x) = lnx, h(x) = cosx For each of the...

Consider the following functions

f(x) =x^2, g(x) = lnx, h(x) = cosx

For each of the following parts, you may use compositions, products, and sums of thefunctions above, but no others. For example, we can combine in the following waysh(g(x)) = cos(lnx), or g(x)h(x) = lnxcosx, or g(x) +h(x) = lnx+ cosx

show how derivative rules apply to the function you came up within order to produce the requested derivative.

1)A functionk(x) whose derivative is k′(x) = −tanx= -(sinx/cosx)

2) A functionj(x) whose derivative is j′(x) = x(1 + 2 lnx) =x+ 2x ln x

3) A function l(x) whose derivative is l′(x) = −2 cosxsinx

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