How do you differentiate #g(x) =e^x*1/x^2# using the product rule?
By signing up, you agree to our Terms of Service and Privacy Policy
To differentiate the function g(x) = e^x * 1/x^2 using the product rule, you apply the formula:
(d/dx) [f(x) * g(x)] = f'(x) * g(x) + f(x) * g'(x)
Where f(x) = e^x and g(x) = 1/x^2.
f'(x) = d/dx(e^x) = e^x g'(x) = d/dx(1/x^2) = -2/x^3
Now, applying the product rule:
g'(x) = e^x * 1/x^2 + e^x * (-2/x^3) = e^x / x^2 - 2e^x / x^3
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.
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)=cos(e^(3x^2)+7) # using the chain rule?
- How do you differentiate #(sin^2x+sin^2y)/(x-y)=16#?
- How do you differentiate #g(y) =(x^2 - 1) (x^2 - 2x + 1)^4 # using the product rule?
- How do you use the chain rule to differentiate #f(x)=cos(2x^2+3x-sinx)#?
- How do you differentiate # f(x)=ln(1/sqrt(e^x-x))# using the chain rule.?

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