Question

Question 6: Differentiate the following w.r.t. x: e^x + e^x^2 +... + ex^5

Class 12 - Math - Continuity and Differentiability

Answer 1

dy/dx = e^x +e^x^2.2x + e^x3. 3x^2 + e^x4. 4x^3 + e^x^5.5x^4

Hope you get your answer.

Answer 2

let y = e^x + e^x^2 +... + ex^5

differentiating using chain rule

dy/dx = e^x + e^x² × 2x + ...... e^x^5 × 5x⁴

formulas used :-
d/dx(e^x) = e^x
d/dx(xⁿ) = nxⁿ-¹