4t S = -2 С. t+1 1+sin 0 2 d. r = 1-cos 9

Q: Find the partial derivative of the function with respect to each variable. 28 h(p,p.0) = p cos p sin…

A: The partial derivatives of the given Function is given as

Q: dy For the function dt 5 cos t, the third order derivative dt is O 5 cost O 5 sint O -5 sint O -5…

A: Given  dydt=5 cos t          ............ (1) We have to calculate the third-order derivative of y…

Q: 1 R(t) = 2 sin(t) – 4 cos(1)

A:

Q: : Q2) Find the derivatives of each of the following functions? 1- y= tan (V3x + In(5x)) 2 y In…

A:

Q: Q2//A/ Find the derivatives of the following fiunctions: 1+x -4 1- y 2- y = cscx cot.x + 3- y =eV4x…

A: 1. y = (1+x-4√x)/√x 2. y = cscx cotx + 1/x2 3. y= e√(4x^2+1)

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

A:

Q: 3. Find the derivatives of the following funct a y = sin z?, y" b. h(2) = (9z + 4)š, h(3)(z) c.…

A:

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

A:

Q: b. Find the first and second order derivatives of the following function: In(Tx) y = sin(Tx + 3) *…

A: Given Function is, y=sinTx+3eTx+ln(Tx)Tx2 Differentiating above equation with respect to x,…

Q: Calculate the derivative indicated in the figure below

A: rs=s, 2s, s2

Q: Evaluate the following derivatives.

A:

Q: 4. Determine the following derivatives without simplifying either before or after. d a. dx -…

A: As per the guidelines I am supposed to do the first three parts of a multipart question.  So I am…

Q: Consider the following function and express the relationship between a small change in x and the…

A:

Q: Find the given higher-order derivative. f (4)(t) = t cos t, f (5)(t)

A:

Q: Find the derivatives of the following functions. d r? +3 (a) dr VTI +1 d (b) [a3 sin(5.x) tan x] da…

A: As per the company guidelines we are supposed to answer only first 3 subparts.Kindly repost the…

Q: #1 Find the second derivative of each function 4x+2 a. a. f(x) Зх-6

A: First calculate 1st derivative of f(x) and g(t). Apply  d/dx of (u/v) in problem a. and chain rule…

Q: Given x sin 4t and y = cos 4t, find the following derivatives as functions of t .

A:

Q: 3. Find the derivative y for each of the following: (a) y = V³ – V73 + 1; Answer: 1+ cos 6r 1+ 6x…

A:

Q: Find the derivatives of the following: 1. y = 10 sin x + 100 2. x(t) = 5 sin t + 3 cos t

A: (1) y=10sinx+100 Derivative of sinx  is cosx y=10 sinx +100y'=10cosx   (2) x(t)=5sint+3cost…

Q: Use implicit differentiation to find dy/dx for the following equations: a. x2 + 4xy - y3 = 6 b. x…

A: Given a. x2+4xy -y3 = 6   b. x sin y = y cos x

Q: Find the following derivatives (a) g(x) = rVr2 – a² – a² cosh-1 (-) a (b) h(r) = xsinh z (c) y =…

A: (a).  The given function is: g(x)=xx2-a2-a2cos-1xa

Q: Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not…

A:

Q: Q1 / Find dy/dx by using the definition of derivatives for the following functions; -4 1. y = x/x

A: To find the derivative of a function

Q: Q4: Find for the following functions: - dx 1- y = 2cot? xcos (x3+1) x cos² (x³ +1) 2- y =

A: Given functions are 1) y=2 cot2x-1x+1 2)y=x cos2x3+1x cos2x3+1 We need to find differentiate of…

Q: Given x=sin5t and y=cos⁡5t, find the following derivatives as functions of t . a) dy/dx b)…

A:

Q: Q4) Find the derivatives of the following functions (answer two only): secx a) y = f,c* (t -) dt %3D…

A:

Q: ds :10 Sin 10t-16Cos (6t; よt sは)=-6 SLE t) =>

A: In the question we have to find anti-derivative of dsdt=10sin10t-16cos16t

Q: 15. Find the derivative of each of the following functions. TE-2 dt (a) f(x) = /" eV7t-2 %3| (b)…

A:

Q: Q1: Find dy/dx for the following functions:- (1) e – 3* = x sinh y (2) tan-12 = (Inx' + y²)

A:

Q: elp+2) g(x, y, z) = ; find gy ,1,0 sin(x+z)"

A: Giveng(x,y,z)=exy+zsin(x+z)

Q: Find the first order derivative for the following: T-cot(e(40)y) sin(10y²) 10 + Vx4 + 10e* y3

A:

Q: Find the derivatives of the functions s = 4/3πsin 3t + 4/5πcos 5t

A:

Q: Find of the following functions. [ dr (a) y = sec(7?) (b)y = sin7x + cos5a

A: here we can find the derivative as below.

Q: 6. Find the derivative of each of the following d. 2 a. dx [tan (3z)] sin x b. dx r2 + 1 Fnd the ki…

A:

Q: b. Find the first and second order derivatives of the following function: In(Tx) y = sin(Tx + 3) *…

A:

Q: Find the differential of each function. (a) y = tan(V7t) %3D

A:

Q: 1. Find each of the following derivatives. d a. [cosh(2x² - 4)] dx b. 0| dx [tanh(4e³x+1)]

A:

Q: 13. Find the derivative of the following functions and simplify the answer: 2x + V (a) I 9a2-8 e y =…

A:

Q: 6 – Find the derivatives of the following functions a) ((1 + 2t)i + (3 + 3t)j* + (e²4)k* dt d b)…

A:

Q: Find the derivative of each of the following functions. Do not simplify your answers. (a) g(x) =…

A:

Q: Find all second order derivatives for the following functions. (a) f(x, y) = 2² +3ry+2y², (b) f(x,…

A:

Q: Find the derivatives of each of the following, showing the working and simplifying. (a) f(x) =…

A: Since, you have post multiple part. I am answering first three part. Please post again the question…

Q: 2. Find the first and second derivatives of the following functions a) y = 6) y = e", c) y = In (sin…

A:

Q: Find the derivatives of each of these functions. a. y = (x¹+csc(z)) ³ b. y=sin(z) sec(41) c. y = csc…

A: Note - As per our guidelines we have to answer first three sub parts if multiple subparts are posted…

Q: Q10. Find the first derivative of the following: a. y= sin(cos5x*) b. y= In(2x) c. y=(-5x' +2)s с.

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the indicated derivative: d/dt ( (t^3 +3, 3t^2 -4)* (tan(t),sin(t)) )

A: We have to Find the derivative of d/dt ( (t^3 +3, 3t^2 -4)* (tan(t),sin(t)) )

Q: Q1/ Find dy/dx by using the definition of derivatives for the following functions; 1. y = =

A: 1) Given- y=-4xx To find- The value of dydx using the defination of derivative for the above…

Q: Q4) Find the derivatives for the following: 1) y? + 3x? – tan-(3x – 12y) = 7n 2) y =…

A: Given,  (1) y2+3x2-tan-13x-12y = 7π    (2) y = sin-1xlntan6x   We have to find the derivative of the…