5cos3(x) Гу 3 sin(3–2x) + tan? (3x? — 4х) — csc(/2x — 1

Q: cos ( bVx3 f(x) = a ln sin(cx²)

A:

Q: 1. Find the derivative of each function below. ex² - 3x +1 y = In(2e¬t sin t) A y =

A:

Q: 2. Find the derivative of the following functions. (a). g(x) = cos (2x + 1) (b)," f(x) = In (x² – 4)…

A: To find the derivative of the functions

Q: Find the 90th derivative of y = cos 2x. %D

A: dy/dx of cos2x=-2sin2x.

Q: Q3) find the derivative of each function: 1) y=x?sin*2x + x cos-3x 2) y? = (sin2x)* + (cos2x)* + 2xy…

A:

Q: Find the derivative of y with respect to x. y = In 6x? 12 O A. 2x В. x + 6 Oc. OD. 2x +6

A: The given function is- y=ln6x2 Differentiating y w.r.t. x- dydx=16x2×d6x2dx

Q: 2. Calculate the derivative of the following. y = (x*- 3x2+5x) 3 y = tan (x2 + 5x - 2) А. B. (4x +…

A: Given  A. y=(x4-3x2+5x)3 B. y=tan2(x2+5x-2)C. y=(4x+3)3(x-2)2D. y=x2ex2-1

Q: the implicit derivative of     sin(y) − xy^3 = e^(−3x^2)

A: Givensiny−xy3=e−3x2

Q: I Find the second derivative (y") of the following functions and simplify the final 1. y = x –…

A: As per our guideline, we are supposed to answer only the first question, to get remaining kindly…

Q: What is the derivative of y cos e4- 2 7

A: Solution is given below:

Q: Q1 Find the derivative of the function : f(x)=ex+1-2x³ at x=1.5,with h=0.1, using the central…

A: Numerical differentiation is nothing but to approximate the changing in the function value with…

Q: Use implicit differentiation in finding the derivatives of y with respect to x. What is the…

A: Given equation, x2 - 6xy + 3y2 =0

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y

A: Given that a function f(x,y) is continuously differentiable on an open region, we can derive the…

Q: Find the slope of the curve 2xy = In(e*) sin(x) at the point (2,2)

A: to find the slope differentiate  the equation with respect to x .

Q: Find the derivative of the inverse trig functions. a) y = cos-1 5x b) y = x· arctan x

A: We can solve both the question as below.

Q: Find the derivative of y with respect to the independent variable. y = 10cos T) -.... A. - 10coS TO…

A:

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In x² + y²

A: Given,            f(x, y)=3xy2+2xy+x2ln1x2+y2

Q: 20. Find the derivative of the function. y = 9cos(2x) a. y'=-18sin(2x) b. y' =18sin(2x) c.…

A: Option (a) is the correct option. Differentiate y using the chain rule.…

Q: Derive the formula dy/dx= 1/ (1 + x2) for the derivative of y = tan-1 x by differentiating both…

A: Given,

Q: 3. Find the *_ 2° L_weak derivative her XE [0,2TC] XE

A:

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: Find the derivative of y = arccos 4x with respect to x. - 4 4 а. b. 1-4х* V1-4x? - 4 - 4 с. d.…

A:

Q: Find the derivative of y with respect to x. y= sin -3 O A. XV1-x - 3 O B. 1+x - 3x 3 c. 1-x -3 O D.…

A: Given that: y=sin-11x3

Q: 13. Find the derivative of the following functions and simplify the answer 10z + Va y = (a) 8x2-7 et…

A:

Q: 22. Find the required derivatives. a) y = (4x3 - 2x + 1)-2; find y b) x = Vy? + 1;find x"

A:

Q: Q1:- Find the first order derivative of each of Inx a) y = e*secx + CsCx

A:

Q: 3. Use the Leibnitz formula for differentiation to find (i) for the function y=sin" xin) (ii) for…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Q4: Find the second derivative of f(x) = %3D (cos^2) 7x: *

A: The given function is;  f(x)=cos2(7x) We have to find: f''(x)

Q: FIND THE SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOLUTION): 2 X = 2…

A: First, evaluate the first derivative dydx (y'). To find y', determine the dxdt and dydt.…

Q: The third derivative of y = sin is b) y" =-co а) у -sin 8 c) y" = -8sin d) y" =-8cos

A:

Q: find the derivative of y=1/b²[a+bx-aln(a+bx) where a and b are constants

A: Derivative of function

Q: A-The derivative is y = In sin 0 cos 0 1+2 ln 0

A:

Q: 4. Find the indicated higher-order derivative of the given functions. d'y а. у %3D 8е* + sin x; dx7…

A:

Q: 1. 2x'y² + 4yx² = 6. Find dy/dx at (1, 1) by i- %3D

A: Here we have, 2x3y2+4yx2=6 ................... (1)  Differentiate with respect to x

Q: Calculate the derivatives of the following functions.(a) y= 4x2 + 4(b) y = sin 3x+ 4 cos 2x(c) y =3x…

A: We have to find derivative of the given function. (a). dydx=d4x2+4dx=8x   b.…

Q: 1. Calculate the derivative of the following function. y= V2x + 19 dx 2. Calculate the derivative of…

A:

Q: 1. Find the respect y = 2x5-x² 3x - 20 derivatives with to X using dy using o 12-1

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 2. Find the first derivative of the following expression: f(x) = (x2 + 1)sin a

A: take derivative  use the exponent rule

Q: 2 2 X = 1+t2 y=r(1+t?)

A: To find second derivative of given function.

Q: 3.9.27 Find the derivative of y with respect to x. y = sec 1(5x2 + 1). -1(5x2 +1), x > 0 dy %3D dx…

A: Please see the answer in Step 2

Q: 2. In each case, find the derivative d. (a) z = x³ – y² and x(t) = cos 2t and y(t) = e-3t, (b) z =…

A:

Q: Find the third order derivative of y = In(cos(2x)). A. y' = -40sec? (2x)tan(2x) B. y' = -80sec?…

A:

Q: - 18x Find the derivative of y with respect to x if y = e dy %3D dx

A: We have to find the derivative

Q: Find the derivative of y with respect to x. y = tan -1V3x O A. V1- 3x 1 O B. 2(1 + 3x)/3x 3 Oc.…

A:

Q: f(x) = e²x cos(x) e2

A:

Q: Find the first and second derivatives of the function  y = cos (x 2 )

A: We have to find first and second derivatives of the function: y=cos x2 We know formula of…

Q: The derivative of : y =0(sin (In (0))) + cos(Im (0)) is:

A:

Q: 2. Y= 2 Arccos (1-5+ V4x – x²

A: Let's find.

Q: Find the derivative of y with respect to x. y = sin -1(et) OA. 5e 5t /1- e 10t O B. - 5 e 5t /1- e…

A: We have to find