Home › CBSE Class 12 (Commerce) › Mathematics › Continuity and Differentiability › For f(x) = (1 + x)(1 + x^2)(1 + x^4)(1 + x^8), w…
For f(x) = (1 + x)(1 + x^2)(1 + x^4)(1 + x^8), what is f'(1)?
A120
B16
C136
D15
Answer & Solution
Correct answer: A. 120
The product expands to 1 + x + ... + x^15, whose derivative at 1 is 1 + 2 + ... + 15 = 120.
Related questions
The identity x = e^(log x) holds only forThe function f(x) = 1/(x - 2) is discontinuous atThe greatest integer function [x] is discontinuous at which of these points?For x > 0, logarithmic differentiation shows that the derivative of x^x isIf x^2 + y^2 = 1, implicit differentiation gives dy/dx equal toLet f(x) = kx^2 for x <= 2 and f(x) = 3 for x > 2. For continuity at x = 2, the value of kA function equals (x^2 - 9)/(x - 3) for x not equal to 3 and has value k at x = 3. It is cTaking natural logs of y = [u(x)]^v(x) gives log y equal to