# How do you find the derivative of #1/x^5#?

Power Rule:

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

To find the derivative of ( \frac{1}{x^5} ), you can use the power rule for differentiation, which states that the derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule to ( \frac{1}{x^5} ), you get ( -5x^{-6} ). Therefore, the derivative of ( \frac{1}{x^5} ) is ( -\frac{5}{x^6} ).

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 differentiate # f(x)=e^sqrt(1/x)# using the chain rule.?
- How do you differentiate #g(y) =(2x-5 )(x^2 + 3) # using the product rule?
- How do you differentiate #s=(1+sint)/(1+tant)#?
- How do you differentiate #f(x) = (sqrtx)/(-x^2-2x+1)# using the quotient rule?
- What is the derivative of #cos[sin^-1 (2w)]#?

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