Home
Class 12
MATHS
Derivative of f(x) = x + e^(x) is...

Derivative of `f(x) = x + e^(x)` is

Text Solution

Verified by Experts

`(d)/(dx) (x + e^(x)) = (d)/(dx) (x) + (d)/(dx) (e^(x))`
`= 1.x^(0) + e^(x) [:' (d)/(dx) (x^(n)) = x^(n - 1) "and" (d(e^(x)))/(dx) = e^(x)]`
`= 1 + e^(x) [:' x^(0) = 1]`
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Example|41 Videos

  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE|Exercise Try yourself|64 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

Similar Questions

Explore conceptually related problems

The derivative of f(x) = x^(4) e^(x) is

Derivative of f(x) = x^(2) is

The derivative of f(x) = (x - 4)^(2) is

The derivative of f(x) = (2x + 1)^(3) is

Derivative of f(x) = 3^(x) is (ii) Derivative of f(x) = e^(2x) is

Derivative of f(x) = x^(6) is (ii) Derivative of f(x) = (1)/(sqrt(x)) is

The derivative of f(x) = e^(e^(x^(2))) is

If it is know that at the point x = 1 two anti- derivatives of f(x) = e^(x) differ by 2, the difference of the anti - derivatives at x = 100 is :

The derivative of f(x) = x log x is

The derivative of f(x) = (x^(4))/(e^(x)) is