Web23 nov. 2016 · Explanation: Symmetry f ( −x) = e−( −x)2 = e−x2 = f (x) So the function is even and the graph of the function is symmetric with respect to the y -axis. Increase/Decrease and Extrema f '(x) = −2xe−x2 Since ereal number is always positive, the sign of f ' is the opposite of the sign of x. Web14 sep. 2024 · y = f ( − x) Solution Step 1: Identify the transformation on the parent graph, f. y = f ( x) − 2 Minus 2 Outside Function; Shift Down 2 Step 2: Shift each point 2 units down: Step 3: Answer: y = f ( x) − 2 Step 1: Identify the transformation on the parent graph, f. y = − f ( x) Negative Outside Function; x -axis Reflection
If y = ex +ex+ex+..∞, then (dy/dx) = - Tardigrade
Web9 nov. 2024 · We can now find the derivative of F (x) = e^-x, F' (x), by making use of the chain rule. The Chain Rule: For two differentiable functions f (x) and g (x) If F (x) = f (g (x)) Then the derivative of F (x) is F' (x) = f’ (g (x)).g’ (x) Now we can just plug f (x) and g (x) into the chain rule to find the derivative of e to the negative x. WebIf y = ex +ex+ex+..∞, then (dy/dx) = (A) y (B) (1/y) (C) (1/ 1 - y) (D) (y/ 1 - y). Check Answer and Solution for above question from Mathematics in phone wallet id
3.1: Transformations of f(x) - Mathematics LibreTexts
WebIf F (x) is a differentiable function such that F (x)=f(x),∀x>0 and f(x2)=x2+x3, then f(4) equals Q. Use the factor theorem to determine whether g ( x) is a factor of f ( x) f ( x) = 2 … WebIf F (x) is a differentiable function such that F (x)=f(x),∀x>0 and f(x2)=x2+x3, then f(4) equals Q. Use the factor theorem to determine whether g ( x) is a factor of f ( x) f ( x) = 2 2 x 2 + 5 x + 2; g ( x) = x + 2 Q. Find the range of f(x)=sin−1(ln[x])+ln(sin−1[x]), where [x] is the greatest function. Q. Web6 aug. 2015 · y = f (x) g(x), with g(x) ≠ 0. by using the formula. d dx (y) = [ d dxf (x)] ⋅ g(x) −f (x) ⋅ d dx(g(x)) [g(x)]2. In your case, you have f (x) = e2x − 1 and g(x) = e2x + 1, so you … phone wallet for samsung a51