Q: IF the value of (t) change from sin(“,) to cos( ",5. Find the dF for dx f(x, t) = V1+t³ Sa f(x,t) dt function by using Leibniz rule where F(x) = CB(x) a(x) %3D

Q: 9. Find f' (x) for the function f (x) = sin? (cos(4x)) 10. Find f'(x) for the following functions:…

A: Given:          f(x) =sin2cos4x first derivative        ddxfx =f'x      f'x=ddxsin2cos4x    Applying…

Q: Find the derivatives of the function x=a (cos t + sin t ) ,y=a(sin t -t cos t

A: To find the derivatives of the function

Q: Differentiate the function. 8 + sin(t) f(t) cos(t) (a) f'(t) = Find f'(T). (b) f'(1) =

A: a:Here, f(t) =(8+sin(t))/cos(t)The derivative of f(t) is calculated as follows:

Q: dy for the following functions : dx 1. Find 3(x – 1) (ans.: 5) Sec² /2x +7 15) y=\tan /2x +7 (ans.:…

A:

Q: If f(t) = 2 - 9t cos t find f'(0).

A: Given :ft=2-9tcost

Q: Let h(y) = 20 cos y – 3 sin y. Then h'(y) =

A:

Q: 2 sin x f(x) = 2+ cos x find f' (x).

A: use ratio rule for finding the derivative of rational function.

Q: Find f. f"(x) = 5e* – 8 sin(x), f(0) = 3, = 0 %3D %3D f(x) = IN

A: Answer and explanation is given below

Q: If tan2(2y) – S cost dt = 4 - x² %3D dx

A:

Q: Q2\Find T.E of the function f (x) = sin 2x when a =1?

A: Given that  f(x)=sin(2x) at a=1  To find the T.E

Q: Find f. f"(e) = sin(e) + cos(8), f(0) = 2, f(0) = 2 f(e) =

A: Given problem:- f''(θ) = sin(θ) + cos(θ) , f(0) =2 , f'(0) =2  To find:- f(θ)

Q: Find dy y= cof ( + tan)

A: Given : y = cot-12x+tan-1x2

Q: Find the value of f(0) when 3 sin(2t), f( f'(t) 1. f(0) 2. f (0) 3. f (0) 4. f(0) 5. f(0) = = = = =…

A:

Q: -1 Let f(x) = tan-¹ e²². Find f" (x).

A: The solution is given below

Q: Find the derivative of 7 (t) = (1+t°, te¯t, sin (2t)) A. F'(t) = (3t°, (1 + t)e¯t, 2 cos (2t)) B.…

A: We are asked to find the derivatives.

Q: Find f'(z) if f(z) = 8 cos(z) + 9 sin(z). Answer

A:

Q: Find df/dz.

A:

Q: Let fla) =Sint () Find f'(a) Let fla)= sin (u4) , Find f'Ca) Find f'(a) ニ

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