EC: Find the derivative of g(x) (x) = = 0 cos(t²) dt cos(1¹) di

Q: f(x) = acos(b\x) x2 COS

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Q: ds 4. Evaluate s = In cot 20 in terms of de

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Q: Find the derivative of y with respect to x. y = tan (In 3x) O A. 1+(In 3x) 21 O B. x(1 + ( In 3x)) 1…

A: Given: The function y=tan-1ln3x, To determine: The derivative of y with respect to x,

Q: - 3x Find the derivative of y with respect to x if y = e

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Q: 1. Find the derivative of y(t) = t sin().

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Q: Let x be non zero. Find the derivative of the function x cos( 3 + 4 π). The required derivative is…

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Q: 1 Find the derivative of g(x)= (x)sec(x) + a+ x* + cos - sin(x)

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Q: 1. Find the derivatives of each of these functions: a. y = ln (4x² + 4) b. y = 22² c. y = 25x+7…

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Q: Find the second derivative of F(t) = | sin(x) cos(2)d.r.

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Q: -1 4 A = 1 -2 -5 3 7

A: 2-14 1-2-5 037

Q: Compute the derivative of the given function. g(t) = 2t*e' – 4 sin t cos t g'(1) =

A: on doing differentiation with respect to t we get

Q: Which is the greater rate,15 miles in 12 minutes or 25 miles in 20 minutes?Explain

A: Solution: the objective is to find sum of given series

Q: Find the derivative y = 0 [ 10 O A. O B. OC. O D. D. cos √t dt 10x⁹ cos (x5) 9 - sin (x5) - 1 dy dx…

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Q: Find the derivative of (a) f(z) = (z+4 sin z) (1-7 cos z), and %3D sin z (b) g(z)

A: Part (a) Given function is fx=x+4sinx1-7cosx

Q: 2. Find the derivative of the function. y = e* In (sinæ)

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Q: Find the derivative of f(x) = tan (cosx) ++

A: Important Derivatives:1. ddxxn = nxn-12. ddx tanx = sec2x3. ddx cosx = -sinx

Q: Find the derivative of the following functions without skipping steps w = tan (y) + cos (3z) -…

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Q: : When the axes are retated through an angle a, Find the transformed equation of x cos a + y sin a…

A: When the axes are rotated through an angle a then we have to  find the transformed equation for the…