Find the Derivative - d/dx tan(x+y)

Problem

d()/d(x)*tan(x+y)

Solution

1. Identify the rule needed for the differentiation, which is the Chain Rule for the composition of the tangent function and the inner sum.

2. Apply the derivative of the outer function, tan(u) which is sec2(u)

3. Differentiate the inner function x+y with respect to x treating y as a function of x (implicit differentiation).

4. Multiply the derivative of the outer function by the derivative of the inner function.

5. Distribute the sec2(x+y) term to express the derivative in its expanded form.

Final Answer

d(tan(x+y))/d(x)=sec2(x+y)*(1+d(y)/d(x))

Want more problems? Check here!