# How do you differentiate #f(x)=x+x-2x# using the sum rule?

According to the sum rule,

Thus,

By signing up, you agree to our Terms of Service and Privacy Policy

To differentiate ( f(x) = x + x - 2x ) using the sum rule, we apply the rule that states the derivative of the sum of two functions is the sum of their derivatives. In this case, we have three terms: ( x, x, ) and ( -2x ). The derivative of each term with respect to ( x ) is ( 1, 1, ) and ( -2 ), respectively. Therefore, the derivative of ( f(x) ) is the sum of these derivatives, which is ( 1 + 1 - 2 = 0 ). Thus, the derivative of ( f(x) ) is ( 0 ).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you find the derivative of the function #f(x)=mx+b#?
- If #f(x)= sin(- x -1) # and #g(x) = 4x^2 -5 #, how do you differentiate #f(g(x)) # using the chain rule?
- How do you find the second derivative of #x^2y^2=1#?
- How do you differentiate # f(x)=-2xsin^2(x) # using the product rule?
- If #f(x)= (5x -1)^3-2 # and #g(x) = e^x #, what is #f'(g(x)) #?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7