Choose the correct answer.
Let f(x) = a + b |x| + c |x|⁴, where a, b, and c are real constants. Then, f(x) is differentiable at x = 0, if

Question

Choose the correct answer. Let f(x) = a + b |x| + c |x| 4 , where a, b, and c are real constants. Then, f(x) is differentiable at x = 0, if

Philoid · Accepted Answer

Given that f(x) = a + b |x| + c |x|⁴, where a, b, and c are real constants and f(x) is differentiable at x = 0.

∵ f(x) is differentiable at x =0

∴ LHD = RHD

⇒ - b = b

⇒ 2b = 0

⇒ b = 0

Choose the correct answer.Let f(x) = a + b |x| + c |x|4, where a, b, and c are real constants. Then, f(x) is differentiable at x = 0, if