(7) Calculate SS S x²y² z² du where :((D E |E= {(x₁ 7₁2) 1 - 1 ≤ x ≤1, - / ≤ y ≤1, -1 ≤2²₁}

Q: 2 Find an x² x³ +3 anti-derivative for each of the following: for x³ +3>0 x + 2 x² + 4x² 5 a x² +1…

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Q: 1. Find the derivative of the following functions: a. y = x² b. y=x4 c. y=- X

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Q: Q1) Answer the questions by true or false 1) If y = In then the derivative of y is = (x2 + 3) * 2x…

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Q: Find the derivative ( of the following functions dx a.y = (4x² - 1)(7x³ + x) b.y = e²x cos x sin x…

A: As per Bartleby answering guidelines if multiple sub part question are posted in single pic then the…

Q: 1. Which of the following functions have a derivative of zero? a) y = 9.8 b) y= 11 c) y=-4+x d) y =…

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Q: For each of the functions, find the equation of the tangent line at the point x = 1. Then find the…

A: Given Part A f(x) = 2x3-x-6x     ...........(1) We have to find the equation of the tangent line of…

Q: 3. Let f(2) = 1+ 2e" – 3x. At what value(s) of a does f(x) have a horizontal tangent line? Give…

A: Differentiating given function with respect to x, we get

Q: 1. Let f(x, y) = 2xy. In what directions, at the point (1, 2), is the direc- tional derivative of f…

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Q: 3 - 1 Find the derivative of y = - 3 with respect tox. tan A. 3 x +9 В. + 9 С. 1 x +9 D. x² +9 B.

A: Use given function find derivative

Q: 75. Show that (x – a)f(x) dx. f(t) dt ) dx

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Q: (1+x° 2) 늪(cot-1 () - d dx 1-x,

A: Solution:To find:ddx cot-1 1+x1-x=?Formula:ddxcot-1x=-11+x2ddxuv=vu'-uv'v2

Q: 2. Let f(x) = x² In a + 1. Use the second derivative formula to approximate f"(1) when h = 0.2. %3D…

A: Given that, f(x)=x2ln x +1 To find f''(1) when h=0.2 Using second derivative formula,…

Q: Calculate L4 for f(x) = 84 cos ()

A: Given,           f(x)=84cosx2  over 2π4, 2π2

Q: 6. Find the derivative of the following (express answer in simplest form): 1+ sinx a. f(x) = In…

A: Topic = Derivative

Q: 1. If F(x) = ∙e S ex е et² dt, find F(1) and F'(x).

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Q: H. For the function f(x)= cos(ax), find all MVT Values 0<c <2 where f(2)-f(0)= f'(c)(a - o)

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Q: Find the second derivative of the following functions: a. f(x) = x5 + sin x b. f(x) = x² + == x c.…

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Q: 6. Find all values of x in the interval [0, 2 n] for which the slope of the tangent to y e* csc(x)…

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Q: 5. Find the derivative of the function f(r) = (r² + 5)e %3D

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Q: Given g(x) 4 + tdt , use the FTC to find g'(x).

A: GIVEN INFORMATION:-

Q: 2. Prove from the definition of derivative that for n EZ, d ng"-1 dr

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Q: Suppose that ()=-6 and ()-4, and let g(x) f(x) sin cos x and h(x) = Answer the following questions.…

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Q: 7. Let f(x) = (x² + 7x) e. Calculate f"(1), the sec- ond derivative of f at x = 1. (a) 2e (b) 17e…

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Q: Find the derivative for x 1 1. (4Tx)"/2 e 4t |t|2 e 4x 2. 3.

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Q: Assume h(x) = (f(x))3. If f1(0)= −1/2, and f(0) = 8/3, determine an equation of the line tangent to…

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Q: 1. Find the derivative of the following f) y = (2x − 1) ( x³ − x) + √x[2(x³ − x) + (2x − 1)(3x² −…

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Q: Find the derivative dv/dpsi of v(x) V()| V(vi) where V(y) = (1 - e-√2 and 16 V (vi) = (1 - e-√2…

A: Given v(ψ)=VψVψi           (1) where Vψ=1-e-16π3ψ2 and Vψi=1-e-16π3ψi2 Since ψi≠ψ and ψi is the…