Physicists sometimes have to compute derivatives of the following form: (1) o2 – 1 do do Use the product rule to turn that strange combination of derivatives into a the sum of two terms, one of them involving the second derivative of ý and one involving the first derivative.

Q: ate the derivatiw you have five em ally. (BINGO!) 3 -1

A: The answer is first vertical line in the given figure.

Q: Find the derivative of the following using First Principle. 4) y = -2x2 + 3x – 12 5) f(x) = x2 + 15x…

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Q: number a: (A) (B) f'(a) (a) = lim b→a f'(a) = lim h→0 - f(b) – f(a) b-a f(a+h) — h

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Q: A. Find the second derivative of y=- (x+1)³ B. 4x x+1 (x+1)³ C. 8 (x+1)² D. (x+1)²

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Right- and left-hand derivatives Let f (x) = |x|. (a) Calculate the right-hand derivatives of f(x)…

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Q: Find the derivatives of the functions

A: The derivative of the given function can be found with the help of the one-time differentiation with…

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y

A: Given that a function f(x,y) is continuously differentiable on an open region, we can derive the…

Q: What is the derivative of tan-1(e2x-1), 2e 2r -1 2e 2x -1 2e 2r -1 (D) 1+ er-2

A: Solution : We have to find out the derivative of the give function tan-1e2x-1

Q: Let Q (p) : %3D p+1 (a) Calculate the derivative Q' (p) (b) Calculate the quotient Q (p + 4) – Q (p)…

A: Using derivative formula.

Q: Find the derivatives of the following. 1. f(x) = 4x³ + 5x² - 7x 2. h(x) = 2x4+7x x² 3. y=x2/3+2x5/4…

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Q: 8-1. 8-2. Find a general form anti-derivative for the following functions: (a) f(r) = 722/5 + 8z-4/5…

A: we have to find the antiderivative of g(x)

Q: 4) By using Newton's backward formula for the derivative, find f (0-9) + f (0-9) 6 1 (0-8) f(0.8) N…

A: We first make backward difference table: x y=f ∇y ∇2y ∇3y ∇4y 0 0             0.12-0=0.12…

Q: Find the derivative of the following using First Principle. 1) y = 1 2) у %3D х 3) f(x) = 5x3 %3D 4)…

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Q: 1. Use the basic differential properties shown in section 3-5 to find each indicated derivative. (A)…

A: According to our guidelines, we can answer only three subparts of a question. Other parts can be…

Q: -4 (b) If u find and expressing all derivatives in their simplest 3xy form. Hence, Show that

A: The solution is given as