11. Sds 3 ex+2 cos x-sin x 12. S -dx cos2 x

Q: Find the derivative of y with respect to the independent variable. COS y = 10 cos ( OA. -10 COS TO…

A:

Q: Find the derivative of y with respect to the independent variable. y = 9cos zO O A. - 19cos AO In 9…

A:

Q: 14. S 5 sin 3x cos 3x dx 15. ſ tan? Ode

A: We can solve the given integral as follows:

Q: What is the derivative of y=arc sec V3a ? SzV3r 1 2r/3r 1 2r/Sr

A: Recall: ddxsec-1(x) =1xx2-1

Q: 7. f (ex + 1)² dx 8. fex dx/(e²x + 3) 9. f (cos x-sin x)² dx

A:

Q: Q1\| Integrate SIX of the following functions: sinh(lnx)dx 1) 3) | sin?(2x).cos(3x) dx 2) ex. sinxdx

A:

Q: find the derivative of the trig functions: y=5sin(2pix) g(x)=7tan(3x) y=cos((pi*x)^9)…

A: Given: The following trigonometric function, y=5sin2πxgx=7tan3xy=cosπx9hx=sin7xcos7x To find: The…

Q: 13. We know that x = r cos 0 and y = r sin 0, then find the derivative af/ar if 1 f = ? + y?

A:

Q: Find the derivative of cos(0)d0. du Jo cos(0)de = cos (w²) · 2w • d de So" cos(8)d0 = cos(2w) • d S…

A:

Q: The 2nd derivative of y = 24r is A 2*+2 In(8) B 2tr+4 In(4) © 24r+4 In(2)

A: Given that: y=24x

Q: Find the derivative. х10 cos yt dt y = A. sin (x) B. cos (x$) – - 1 C. Cos (x*) D. 10x° cos (x°)

A: We know that

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

A:

Q: Find dy/dx by implicit differentiation. 6sin x + cos y = sin x cos y

A: Given,            6 sin(x) + cos(y) = sin(x) cos(y)

Q: What is the derivative of (6 x+1)5 (4 x-21)16 (21 x-23)3 (3 x+25)4 y = In with respect to x?…

A:

Q: Find of the fo lloming function the derivative Tin C A y'= (Sinsc) oc Sin 6-1 Sinac +Inx cos scl +…

A:

Q: Find the indicated derivative dy/dx 3.) x+xy+y=1

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Find the derivative. y = 3t cos (t6) dt Select one: 3 A.6x cos (x ) 3 3 B.3 cos (x ) - 3^/x sin (x )…

A: The solution are next step

Q: Find of the following by implicit differentiation. Show solution. dx y sin x =x2 – 2y • sin x+ sin y…

A: This question is related to derivative.

Q: Find dy/dx by implicit differentiation for the following.

A: Given expression: 5y2=4x-34x+3

Q: Evaluate the derivative of mq4.4.png cosh (bVx3 f(x) = a ln sinh(cx2) if a = 69, b = 0.6, and c = 6…

A: Given function: fx=alncoshbx3sinhcx2 To find: The derivative of the function f'(7) using…

Q: Find the derivative of the given functions. 1. D;(x²cos 2x) 1 1 2. y =x + 7sin 2x 3. f(x) = sin?(5x…

A: We have to find

Q: Derive the formula dy 1 dx 1 + x? for the derivative of y = tanx by differentiating both sides of…

A:

Q: d'y of y = 5 cos T dr

A: The given function is y=5cosx. Obtain the first derivative of y=5cosx: dydx=5dcosxdx=-5sinx Obtain…

Q: What is the first derivative of y=tanh(0³+30)? A y'=3(0²+1)sech (0²+30) dy =3(0²+ 1)sech²(0²+ 30) B…

A:

Q: What is the first derivative of the expression (xy)^x = e? Hint: this involves implicit…

A:

Q: The derivative of y=eov? +cosh/x equals Select one: O y' = 2/x et +sinhx + sinh/x O None O y'=@ov +…

A: This is a composite function. Therefore we have to use rules for derivative of composite functions.

Q: 1. Find the derivative of the following functions (dy/dx) at x=Tt/4 cos x2 1– sin x2 y= 2. Find the…

A: We have to find the derivatives of given function at x=π/4  1. y= cosx2/(1-sinx2) 2. y=x3sin3xcos3x

Q: Find the particular anti derivative that satisfies the following conditions: dy/dx=3x+5/sqrt3 of x;…

A:

Q: The third derivative of y = cos 1 sin 27 1 111 a) y" b) y" 27 %3D 3 1 1 c) sin d) y 27 y = - %3D 27…

A:

Q: What is the first derivative of s(r) = log, sin z 712+8z+2 Provide your answer below: s'(x) =]

A:

Q: can you help me step by step with this problem?

A: Find the derivative with respect to s.

Q: 2. Please find the derivative of the following: S* cos vt dt J. cos b. Scos VE dt a.

A:

Q: The third derivative of y = sin(2.x) is (A) None of the given choices B y" = 8 cos(2æ) © y" = -8…

A: This question is related to differentiation, we will solve it using given information.

Q: What is the correct expression of the directional derivative for o = xy ln x + sec c-'[sinh(xy)]?

A: The function is φ=xyln x+sec-1sinhxy. The directional derivative is defined as…

Q: Find the derivative of the given functions. 1. D,(x²cos 2x) 1 1 2. y=x+zsin 2x 3. f(x)= sin?(5x + 4)

A:

Q: Why is it that when implicitly differentiating for dy/dx where sinx+cosy=sinxcosy, only the…

A: We havesinx+cosy=sinxcosy

Q: Sin (7€) + Cos (SE) 5지

A:

Q: The derivative of y =e' ,In(sin 2x) is a) y = eln(sin 2x) sin 2.x b) y = e a(sin 2x), cos 2.r c) y'…

A:

Q: Find the derivative of y with respect to > (x + 6) y = In V (x + 9)60 dy dx (Type an expression.)

A:

Q: 16. S(3 sin 0 + 5 cos 0)d0

A: A detailed solution is given below     ( As per our guidelines, i have to answer only 1st question…

Q: What is the second derivative of the function y = -6 sin x cos x where x is? Round your answer to…

A:

Q: We know that x =r cos 0 and y =r sin 0, then find the derivative af /ər if 1 f = x2 + y2

A: Given f = 1x2+y2  and x = r cosθy = r sinθ Thus f = 1r cosθ2+r sinθ2= 1r2 cos2θ+r2 sin2θ=…

Q: Q2 find the derivative of the following: 1) y = 2stn (5x) 2) y = Inxn cosh 5x ,3) xsin14y = y tan-4x

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

Q: b. Find the derivative of y = Scos (x) sin(3–2x) + tan2(3x² – 4x) – csc(V2x – 1 Jand express your…

A: To find the derivative of below equation

Q: Find the derivative of the function. y = 6 In sin 22x O A. 24 sin 2x OB. 12 In sin 2x C. 24 cot 2x O…

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

Q: What is the derivative of y = (sin (3x?)2? dy dr 12z sin' (3교2) VI-974 dy dr 12z sin (3z²) VI-9z4 dy…

A:

Q: a) f sin(x) cos(x) dx,

A:

Q: b. y = Vxe2x cos x хе2х сos

A: Given: y=x e2x cos x To determine: Derivative of the given function

Q: 1. Find the derivative of the following functions (dy/dx) at x=0 y= sin 2x – 2sec x 2. Find the…

A: We are given: y=sin 2x - 2 sec x and y = sin4 4x - cos4 4x We need to find their derivatives at…

Q: Differentiate implicitly to find dy/dx. cos(x) + tan(xy) + 4 = 3

A: Given: cosx+tanxy+4=3We need to find dydx.Recall the formulas: ddxcosx=-sinx…

Q: The second derivative d^2y/dx^2 of y^3 = xy + 1 at the point (0,1) is

A: