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An identity Show that if f has a continuous second derivative on [a, b] and f′(a) = f′(b) = 0, then
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Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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- Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. & 1² (520 - €) 30 dt = Pu ab a D va |a| ² (560-t) 30 dt ग sin (a) Earrow_forwardUse part one of the fundamental theorem of calculus to find the derivative of the function (The variables are “t” if it’s hard to see)arrow_forward7arrow_forward
- Please help. This is due today. Thank you.arrow_forwardStep 3 Now write the derivative in terms of x by recalling that u = -3x + 7 and v = x + 7. 1 d dx [In(v)] V -[In(u)] + dx = = 1 u du dx + 1 d -3x + 7 dx dv dx 1 ) + ( + + 7) = ² ( x + 7) d -(x x dxarrow_forwardIf is a differentiable function and f(a) = b then what is Reminder: f O (ƒ-¹)' (b) (ƒ-¹)' (b) means the derivative of the inverse function, evaluated at b. b 1 (ƒ-¹)' (b) aarrow_forward
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