Question

differentiate y=1/3x+4​

Answer 1

Answer:

1/3

Explanation:

Y=1/3x+4

differentiate

dy/dx=1/3(1)+0

=1/3

Answer 2

Answer:

The first step to any intermediate derivative problem (like this one) is to identify what rules you'll need to use to solve it. In this, you have a composition of functions (that is, one function embedded inside another), which means you'll need to use a chain rule at some point.

Now, onto the actual computations. It'd be smart to pull that 4 out of your calculations, leaving the following:

4⋅ddx[tan−1(3x4)]

What this does is it allows you to focus on the essential functions, which will greatly reduce your chances of making a mistake.

Now, you take the derivative of [tan−1(3x4)]. Because you have that 3x4 embedded into the inverse tangen function, you'll need to invoke the chain rule (as alluded to earlier) to solve this problem. This is as follows:

ddx(f(g(x))=f'(g(x))⋅g'(x)