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- (a) Find the horizontal asymptotes of f. (b) Show that f is differentiable everywhere on R and hence find the derivative f′(x) for all x ∈ R.Determine whether f is differentiable at x=0 by considering limh→0f(0+h)−f(0)h. f(x)=18−x Choose the correct answer below. A. The function f is not differentiable at x=0 because the left- and right-hand limits of the difference quotient do not exist at x=0. B. The function f is not differentiable at x=0 because the left- and right-hand limits of the difference quotient exist at x=0, but are not equal. C. The function f is differentiable at x=0 because the graph has a sharp corner at x=0. D. The function f is differentiable at x=0 because both the left- and right-hand limits of the difference quotient exist at x=0.a. Let ƒ(x) be a function satisfying 0 ƒ(x) 0 … x2 for -1 … x … 1.Show that ƒ is differentiable at x = 0 and find ƒ(0).b. Show that is differentiable at x = 0 and find ƒ(0).
- Determine whether f is differentiable at x=0 by considering limh→0f(0+h)−f(0) / h. f(x)=7−x Choose the correct answer below. A. The function f is differentiable at x=0 because both the left- and right-hand limits of the difference quotient exist at x=0. B. The function f is not differentiable at x=0 because the left- and right-hand limits of the difference quotient do not exist at x=0. C. The function f is differentiable at x=0 because the graph has a sharp corner at x=0. D. The function f is not differentiable at x=0 because the left- and right-hand limits of the difference quotient exist at x=0, but are not equal.Let f(x)= √6-x . Compute f'(2) using the limit definition. f'(2)= -1/4 Find an equation of the tangent line at x=2 y= ? How to solve for the equation of the tangent line at x=2?