Finding the second derivative of y = 2 ^ x * e ^ x
y=2^x e^x
y'=ln2 2^x e^x + 2^x e^x = 2^x e^x (ln2 + 1)
y''=(ln2 +1)^2 2^x e^x
RELATED INFORMATIONS
- 1. What is the second derivative of y = e ^ (- (x ^ 2))
- 2. (1) N-order derivative of y = (x-a) ^ (x + 1)? (2) n-order derivative of y = e ^ x
- 3. The derivative of F (x) = (AX + 1) * e ^ x is known
- 4. Y = e ^ x + 1 / e ^ X-1 derivative Y = (e ^ x + 1) / (e ^ x-1) so y '= [(e ^ x-1) * (e ^ x + 1)' - (e ^ x-1) '* (e ^ x + 1)] / (e ^ x-1) ^ 2 [which formula got this step? I can't understand it] = [(e ^ x-1) * e ^ x-e ^ x * (e ^ x + 1)] / (e ^ x-1) ^ 2 = (- 2E ^ x) / (e ^ x-1) ^ 2
- 5. What is the derivative of e ^ (1-x ^ 2)?
- 6. What is the derivative of E Λ x?
- 7. What is the derivative of F (x) = a (X & # 178; - x-1) / e ^ 2?
- 8. What is the derivative of F (x) = a (X & # 178; - x-1) / e ^ x?
- 9. Y = e ^ x y '= e ^ x can be written as y = f (x) and derivative y = f' (x) Y = x ^ 2, y = 2x written as y = f (x) and derivative y = f '(x)
- 10. The derivative of the function y = 12 (ex + e − x) is () A. 12(ex−e−x)B. 12(ex+e−x)C. ex-e-xD. ex+e-x
- 11. Let y = e ^ f (x ^ 2), find the second derivative of Y Let y = e ^ f (x ^ 2), find the second derivative of Y,
- 12. Let f (x) be differentiable, find the function y = f (e ^ x) e ^ f (x), and find the derivative of the independent variable x
- 13. When f (x) = (x + 1) ln (x + 1) + m (x ^ 2 + 2x) x > = 0, f (x)
- 14. Derivative of F (x) = (a ^ x) x ^ A
- 15. If f (x) is differentiable on R, the relation between the derivative of F (- x) at x = A and the derivative of F (x) at x = - A is () A. Equal B. reciprocal C. opposite D. uncertain
- 16. Let f (x) be differentiable on R, find the relation between the derivative of F (- x) at x = A and the derivative of F (x) at x = - A I want to define the formula, not the compound function
- 17. The derivative of function f (x) = a ^ 4 + 5A ^ 2x ^ 2-x ^ 6 is
- 18. Let y = f (x), f '(x) exist, and find the derivative of y = f (2 ^ x)
- 19. Derivative of y = INX derivative of y = in * 2
- 20. Given that y = f (INX), the second derivative of F (x) exists, find the second derivative of Y