Integrate the following. 3. f sec?x dx tanx

Q: dy Find for the following function. dx y = 11 sin x cos X

A: Given : y = 11sinxcosx

Q: If y=sin?t+ tant, x=- In(-cost) - e int, find the value of y' when t=-. 4. %3D 6/2 2-Vze 2 3/2 B 6.…

A: We have to find

Q: Find dy /dx for the following function: sinx.cosx + tan?x y = In Vex

A: solution: the objective is to find the derivative of the given equation

Q: Find dy/dx for the following functions i)x=3 cos t-2cos3t ii)y=3 sin t -2 sin3t

A:

Q: 4. Find d?y/dx² for the following functions: b) y = cos*(sec² 3x)

A:

Q: dy Find dx for the following function. y = 7 sin x+5 cos x

A: on differentiation with respect to x we get

Q: Find dy /dx for the following functions: x+ tan(xy) =N y = xcos x

A: The sum/difference rule of derivative: f±g'=f '±g'. The product rule of derivative: f·g'=f '·g+f·g'.

Q: Find for the following functions: - dx 3) y = tan

A:

Q: Use Euler's modified formula to find an approximate value of y whenx = 0.3, given that = x+y and…

A: Given  dy/dx = x+y and y(0)=1 To determine y(0.3) using Euler's modified formula

Q: Find dy/dx for the following functions i)x=3 cos t-2cos3t ii)y=3 sin t-2 sin3t

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Q: Fined dy Por the following.. dx O y=tan' (x'+3x-5) + sin ( x*+ 2x - 1) (2) Seepn ed withh CemS…

A:

Q: dy Find of the following functions. dx (a) y = sec(4x²) (b)y = sin4x + cos5x (c) y = cot (v4 – x²)

A: Solve above differentiation.

Q: F. Solve the following by Substitution Method. 1. y(x tanx + In y)dx + tanx dy = 0 dy %3D

A:

Q: Q5: Find dy dx (1) In(x - y) = xy + y³; for the following functions: (2) y = tan³√/cot(7x);

A:

Q: dy Find for the following function. dx y = 7 sin x cos x

A:

Q: 5. Find the following derivatives: a) y = x?e-2/x b) y = t tan -t- t -Int

A: Given:  5)a) y=x2e-2xb) y=ttan-1t-12lnt To find: Derivatives of the given functon.

Q: Q) Find F(x) of Sin x O Fix)- S sec?t dt O Fia)=SEdt

A: The cumulative function is given by ​​​​​​​

Q: Q5: Find for the following functions: dy dx (1) In(x - y) = xy + y³ ; (2) y = tan³√/cot(7x);

A: To find derivative.

Q: dt f(x) = 1+ sin? t

A:

Q: dx a(1+x?)

A:

Q: 7. L {f(t)} where f(t) = t sin 2t sin 5t %3D

A: Use the trigonometric identity sin Asin B=12cosA-B-cosA+B to simplify the given function.

Q: Q/ Final oy for the following. dx o y=tan'(x*+3x-5) + sin (x²x 2x -1) (2) X =

A: We have to find differentiation of the given function.

Q: B) Find for the following function: X + tan(xy) = 0 dx

A:

Q: Q1/ Answer the following: 1- " |x | dx = ? 2- ofw4 sec² x dx =1

A:

Q: t? tan (3t) dt. Find H'(x). Let H(x) sin x

A: Flip the limits. So, the sign of the integral will change.

Q: Q5: Find dx for the following functions: (3) y = ex.sin² x In√x

A:

Q: dy Find for the following function. dx 5- cos x y = 6+ cos X

A: To determine the first order derivative of the function.

Q: 3. Find dy for each of the following. dx (b) y = cos²(cot()) tan x (а) у %3D Vx4 + x2+3 (c) y = vx2…

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Q: Find d?y/dx2 for the following functions: a) y = sin x2 cos 2x b) y = cos*(sec² 3x) c) y = x2(x³ –…

A:

Q: dy Find for the following function. dx y = 5 sin x cos x

A: We can find the derivative of the given function by using the product rule of differentiation.

Q: Q3) Find dy /dx for the following implicit functions : y?. sin(x. y) = tanx %3D

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Q: Q2) Find dy /dx for the following function: y = (sin-lx)sinx

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Q: Differentiate the following function. y= sin° x dy 4. 5 sin " (x) cos (x) dx

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Q: Which of the following is not true? d dx O d dx d d.x [sech a] = sech z tanh x dx [csch a]=-csch a…

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Q: Find dy /dx for the following functions: x+ tan(xy) = n y = xcos x

A:

Q: TT Evaluate: f(x + sin(y) + 1) dxdy

A: To Evaluate: ∫-ππ∫02x+sin(y)+1 dx dy

Q: Evaluate : T SS y sin x dydx

A:

Q: Q2) Find dy /dx for the following function: y = (sin-1x)sinx

A:

Q: dx 6. S; ezx+1

A:

Q: Q2: Find dy/dx for the following functions:- (1)y=x'Inx (2) y = √sinh √tanx (3)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 4. Find d?y/dx² for the following functions: a) y = sin x² cos 2x b) y = cos*(sec² 3x) c) y = x²(x³…

A:

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³; (2)y=tan³ √/cot(7x); cash? -nh.…

A:

Q: o find d(tancsexx) dx O find ( 3 ton) X-1 2/3 O frnd dy if y = csc*J5x da ® find y if y= cot (- COSX…

A: See the attachment

Q: V5x d (7?). tan dt dx

A: Use the concept of derivative of an integration then simplify.

Q: Find dy /dx for the following functions: -) y².cotx= [sin(x. y)]-¹ b) y = (lnx+x) tan x

A:

Q: 24) Find dy /dx for the following functions : a) y². cotx= [sin(x,y)]-¹ b) y = (lnx + x) tan x

A: Given: a)y2·cotx=sinxy-1b)y=lnx+xtanx

Q: Q / find Y = ду d x е их e sinx X COSX

A: Given y=e4x sinxx cosxTo find dydx:

Q: dy Find for the following functions dx x² + /siny – y² = 1

A: The objective is to find the derivative of the given function.

Q: dy No need to simplify. А. Find dx 1. y = cos 3x 2. y = tan? | 3x² 3. y = 5x$ 13

A: We know that  ddxcosax+b= -sinax+bddxax+b ddxtan fx = sec2fxddxfx and ddxxn=nxn-1