Let 7(t) = < - 3t – 3, - e-t, - 5 sin( - t) > Find (t) 7' (t) =

Q: Find the derivative (df/dx) 1- f(x) = cscx - 4√x + 7y−² 2-f(x)=x² cotx-x-2 3-f(x) = (secx + tanx)…

A: We have to find derivative of given function.

Q: Find the derivative

A: find the derivative of the given

Q: [CLO-2] Find the derivative of 5 cosx f (x) = 4 sinx+3 O 21 – 6 cosx O ( 7 cosx+2)2 6 – 10 cosx (3…

A: Given:         fx=5cosx4sinx+3   Differentiating on both sides       f'x=ddx5cosx4sinx+3 Taking…

Q: Find y' y= (x2+2)(x-3)

A: Given :                  y = x2+2x-3 Find :               y'

Q: 2. (a) Find the derivative of f(x) = 2x2 – 2x + 2 from first principle sin x (b) If y = x + find x4…

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Q: 9. f(x)=T √√5x²

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Q: (b) A poll commissioned by a politician estimates thatt days after he makes a statement denegrating…

A: Given: Percentage of constituency that supports a politician is: St=75t2-3t+25t2+3t+25 Derivative of…

Q: x + + 8)(6y – 1) = 0 find the second derivative %3D

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Q: O t-sin(t)

A: the answer is t-sin(t)  provided the solution below with steps in step2

Q: Question 2 $-3ar* +2pr² h(r) 4r

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Q: ことる ーx (x+2)(X-2) -6x (x -ax+4) y" CX+2) (x-1)3 need first derivative Eanalysis %3D (x-2)3 (x+2)°

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Q: Q2/Show that the functions is harmonic u = 2 x (1 - y)

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Q: 3. (a) For P(t) = (4t² + 3) (2t³ — t)¹², find P'(t). After taking the derivative(s), do not simplify…

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Q: Find the derivative of y with respect to x. y = sin* 17 2x 2 √√49- (2x + 1)2 2 1 + (2x + 1)² 2…

A: Given:y=sin−1(72x+1​)Solving for the derivative of y with respect to xdxdy​=dxd​[sin−1(72x+1​)] The…

Q: A student takes the derivative of the function f(x) = as follows: d 1 d 2()-(x)--(~)--22 dx dx…

A: Given a solution of derivative  of a function.

Q: Find all complementary functions of the equation xy" - 2y'=0, x>0 1, x² x₁ x³ a. b. C. d. x, x(Inx)²…

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Q: Find the derivative of y sin ¹(3x) x sin ¹(3x)-3x√1-9x²-9x² sin ¹(3x) x² (1-9x²) sin…

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Q: d dx f(x)=sina, f(0) = 7.

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Q: Find the derivative of y = 5x²sec 1(2x-3). O y'= 10x sec-¹(2x-3) + O y'= 10x sec-¹(2x-3) + O y'=…

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Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: 2 x´ + 8)(6y – 1) = 0 find the third derivative

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Q: Let f(x) 39 27 O 1 4√3 O-√6 9 3√3 .-1 (²). Then the second derivative at x = -1,f"(-1), equals = COS

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Q: Let f(x) = 5x4 - -1/2+8√x-3. (a) Find f'(x). (b) Find an equation for the tangent line to the graph…

A: Given that            function f(x) = 5x4-2x2+8x-3     Now             f'(x)    =  ddx5x4-2x2+8x-3…

Q: f'(3i) = -i, g(7+ 2i) = 3i, g'(7 +2i) = -4. Find (f o g)'(7+2i). 4i -4i 2.

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Q: f(x) = 4sin (1-3x2) + xcosx-9, then f'(x) = -24xcos (1-3x2)+cosx-xsinx True O False

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Q: Find the derivative with respect to x the function √√2-3x² A. B. C. D.. -2x² √2-3x² -3x √2-3x² -3x²…

A: 1) The given function is sqrt(2-3x2) 2) y=arc sin cosx