Comute f(x) of
a) f(x) = sinxcosx / sinx + cosx
b) f(x) = (1-x^2) / (1+x+x^2)
c) f(x) = x^7 secx
Proofread you question before posting it.
Not familiar with the different modes of transportation of functions if you meant commute.
Just use the normal product and chain rules, with the chain rule:
f=uv, f' = u'v+uv'
f=u/v, f' = (u'v-uv')/v^2
Just take it a step at a time; you know how to get the derivatives of the various function involved. If you get stuck, come back with your work so far.
To compute the value of a given function, you need to substitute the given value of x into the function and evaluate the expression. Let's go through each function:
a) f(x) = sinx * cosx / (sinx + cosx)
To compute f(x), you need to find the value of sinx * cosx and then divide it by the sum of sinx and cosx.
b) f(x) = (1 - x^2) / (1 + x + x^2)
To compute f(x), you need to find the value of (1 - x^2) and then divide it by the sum of (1 + x + x^2).
c) f(x) = x^7 * secx
To compute f(x), you need to find the value of x^7 and then multiply it by secx.
Now, let's compute each function for a specific value of x. Please provide the specific value of x you would like to evaluate the functions for.