10) Find the second derivative of k(z) = 4 cscz.

Q: y = In (x* + 5)³

A:

Q: i. y= ) In (x+3

A:

Q: 10. Find the 87th derivative of y = cos(2x) at IT

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Q: Find the first derivative of y = e3x. 3e3x

A:

Q: calculate the derivative with respect to x. ln(x2 + y2) = x + 4

A: Given function lnx2+y2=x+4 Differentiate the above function w.r.t 'x' ddxlnx2+y2=ddxx+4…

Q: 4. Calculate the derivative of the given function directly from the definition of derivative y = v2x…

A: Given function is  y=√(2x+1)

Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

A:

Q: Find the derivative of k(x) = log3(x) cos

A:

Q: What is the first derivative of s(x) = 4e.

A: Given function - s(x) = 4ex-3Differentiating on both sides with respect to x - ddxs(x) =…

Q: 4) Find the derivative of the function: x* cos x h(x) %3D Vx2 + 1

A: Answer

Q: 5. Find the third derivative of the function : 3 (ans. : - 8y y=Vx

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cose

A: The given function is : s(θ)=200sinθcosθ We need to find the derivative in two ways.

Q: 10. f(x) = cos (2x)e*²-1

A:

Q: 12) Find the first derivative of f(x) = 3x %3D

A: Use rules of derivative

Q: y = (Arccos 3x³)³

A:

Q: Find the second implicit derivative of the given using implicit differention y2-3x+2y=0

A:

Q: 2х Find the second orfer derivatives of y=Tan" 1-x3

A:

Q: 13. Find the second derivative y “ of y = 5z2 +sinrcosz

A:

Q: 2. Find the derivative of y= ecos{/x+3) Solution:

A: Topic:- derivatives Note:- as per our guideline if more than one question uploaded than only first…

Q: 8. Find the derivative of the function. y= In(1+x)

A:

Q: (b) Use implicit differentiation by partial derivative to solve for of function 3x2 + 2xy = -4y3. dx

A:

Q: Find the first derivative of: y = sinh e2" O y e2 cosh e2# 2e2" cosh e2" O y' 2 cosh e2 O y = cosh…

A:

Q: 4. Find the first order derivative with respe. to x of the function u = In/x2 + y2 + z2 %3!

A: The function is u=lnx2+y2+z2

Q: find the derivative for  h(x) = 3e ^ -x * ln(2x+1)

A: Using product rule of derivative In order to solve the given problem.

Q: 11) Find the first derivative of y = (lnx) 4

A:

Q: (3) Compute the derivative of the function e2t cos tdt.

A:

Q: 3) Find the first derivative of y=(In x)"

A: According to our guideline 3 subparts of question or the first question can be answered and rest of…

Q: 1 14) Use the definition of derivative to find dx 3- х.

A:

Q: Find the derivative of the function. Y= q56* In(2)ln(5)ln(6)· 3*. 5".; 2:56*+1+x

A: Given problem:-

Q: 6. Find the first order derivative with respect to z of the function u = In/x2 + y2 +z²

A:

Q: Find the first derivative of y = 1 using the Chain Rule. (1– x4)6

A: These questions are related to differentiation, We will solve them using given information.

Q: find th first derivative: x=2cos2 t/2

A: we need to find the first derivative of

Q: 1) Find the second derivative of f(x)= 24\x . (6) 2) If y = cos x, what is y (x)?

A: To find the derivatives of the given functions.

Q: 3x y = .3 х +3x

A:

Q: Let y = x(ln x)² – 2x In x. Find the value of X for which the second derivative, y" (x), equals…

A: Solve the following

Q: What is the first derivative of the expression (xy)× = e?

A: See the details solution in below

Q: 5. Find the first order derivative with respect to y of the function U = In/x² + y² + z²

A:

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: 4. Compute the second derivative with respect to x of 3x³ + 8 y : at x = 1.

A:

Q: S Sin 5t-205 2t-2(03 2€ ; s(登)=

A:

Q: 22 Find the 43rd derivative of (1 + x²)“ at x = 0. 0.

A:

Q: 1- Solve the second derivative forf(x, y,z) = e sinay3) əx2

A:

Q: (§5.5, Q34) Calculate the derivative d dæ ), Vi dt.

A:

Q: (b) Use implicit differentiation by partial derivative to solve for dx of the function 5x + xy 4y.

A:

Q: 4. Find the first derivative of y = 170x tan (20x)+- In(49 – x 5e7-8cos

A:

Q: 1) Find the derivative of y with reference to < Y 블+름 2y Y

A: Here is the solution:

Q: 4 Find the first derivative of y = In X +

A:

Q: Find the derivative of the function y, below. 9x(ln x + In 2) – 8x + v2 %3D

A: first, simplify the function  y=9xlnx+ln2-8x+2 y=9xlnx·2-8x+2 y=9xln2x-8x+2

Q: 5. Find the first derivative of y = (2x³ – 1)5 Vx² – 1

A: Given: y = (2x3 – 1)5√(x2 – 1)

Q: Find the derivative of y with respect to s. y= sec -1(9s5 + 5)

A: To find the derivative of  y=sec-1(9s⁵+5)

Q: 3. Find the derivative of h()= 5²°-2z-1 %3D

A: We have to find derivative

Q: 1. Find the first order derivative of u = x*.

A:

Q: Compute the derivative for y= (e^-4x sin^2(x)) / (x^2 + 3x + 1)

A:

Q: Find the fourth derivative of the given: (Show complete solution from first to  fourth derivative)…

A: The function is given by y = (2x+1)25

Q: 2. Find the derivative In (x+) y3=

A:

Q: 10. Solve for the derivative of y IMPLICITLY 22 + vx³ + 2y= y²

A: Topic =Derivative

Q: Find the 2nd derivative of (y^2)+cosx 3y +1

A: This question is based on Derivative of equation.

Q: 1. Find the second derivative of y = sec-'x+ csc-!x. a. 0 b. C. +x+ d. -1 2. е.

A:

Q: 8. Find the derivative of y = In(3t) dt.

A: To Determine: Find the derivative of given integral:…

Q: 2) Find the first derivative of y = sec1(2e3*)

A: To find the first derivative of the given function.

Q: Find the second derivative of y=x-1 at x=2

A: