# If #y=2x+tanx#, find #y'''# third derivative of #y#?

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

To find the third derivative of y = 2x + tan(x), we differentiate the function three times with respect to x.

y' = 2 + sec^2(x)

y'' = 2sec^2(x)tan(x)

y''' = 2[2sec^2(x)tan(x)tan(x) + sec^2(x)sec^2(x)]

y''' = 2[2tan^2(x)sec^2(x) + sec^4(x)]

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.

- What are the points of inflection of #f(x)=8x^2sin(x-pi/2) # on # x in [0, 2pi]#?
- How do you find the exact relative maximum and minimum of the polynomial function of #x^3+3x^2-5x=f(x)#?
- How do you find the inflection points for #g(x)=-x^2+3x+4#?
- For what values of x is #f(x)=(x+6)(x-1)(x+3)# concave or convex?
- How do you find the maximum, minimum, and inflection points for #h(x) = 7x^5 - 12x^3 + x#?

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