# What is the second derivative of #f(x)=cos(1/x) #?

Here,

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

To find the second derivative of ( f(x) = \cos\left(\frac{1}{x}\right) ), we first need to find the first derivative and then differentiate it again.

First derivative: [ f'(x) = -\frac{\sin\left(\frac{1}{x}\right)}{x^2} ]

Second derivative: [ f''(x) = \frac{2\sin\left(\frac{1}{x}\right)}{x^3} - \frac{\cos\left(\frac{1}{x}\right)}{x^4} ]

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.

- If #f(x)=sec(x)#, how do I find #f''(π/4)#?
- What are the points of inflection, if any, of #f(x)= -14x^3 + 19x^2 - x - 2 #?
- How do you find local maximum value of f using the first and second derivative tests: #f(x) = x + sqrt(9 − x) #?
- If #f(x)=x(x^2+1) #, what are the points of inflection, concavity and critical points?
- What are the points of inflection, if any, of #f(x)=1/x #?

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