differentiate y = 7x^2 - ((2x^3)/(x+4))+2cos^2(4x)

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This is relatively easy to do using the documentation, see the basic algebra page on differentation: https://doc.sagemath.org/html/en/tuto....

One of my favourite problems is to show that:

$$\int \ln(x) dx = x\ln(x) - x + C$$

In sagemath this can be done as follows:

u = var('u')
f(u) = ln(u)
f
u |--> log(u)
integral(f(u),u)
u*log(u) - u

You should be able to adapt this example to your case.