Use an appropriate form of the chain rule to find the derivative. R = e5s-t"; s = 5¢, t = 6/2 %3| dR dø

Q: Approximate the value of √98 using the derivative.

A: Let us take the function: f(x)=xf'(x)=12xWe will take x=100at x=100f(x)=100=10f'(x)=12100=120

Q: Calculate the derivative indicated.

A: Our Aim is to calculate the derivative of the expression given below:-p=7eh-2 -(i) at h=4.

Q: Find the derivative of w = (2² - 8²)* du = dz

A:

Q: Evaluate the derivative of  the image  if a = 90 and b = 0.5 at x = 4 using CDA  with Δx =0.11.…

A: For the given values of a, b and c, f(x) is given by f(x)=90cos0.5xx2

Q: Use the quotient rule to find the derivative of the following.

A: The given function is: fx=8x2+5x2+3 If p(x) and q(x) are two functions, then the quotient rule of…

Q: In the given eqaution/s, find the derivative of the function:-   y = 1/x - 2

A: Given: y=1x-2

Q: Use the quotient rule to find the derivative of the following.

A: We know that, the quotient rule is a method of finding the derivative of a function that is the…

Q: calculate the derivative. h(t) = 5et−3

A:

Q: Find the derivative of the function. h(s) = -27s2 + 9

A: topic  -  derivation

Q: Find the derivative of the function y = 8t- y (t) = eTextbook and Media Save for Later

A: Given problem:-

Q: Compute the derivative of the given function. fx) = xPe sec(x) help (formulas) Answer(s) submitted:

A: Use leibniz formula for the product of two or more function  for differentiation

Q: 2r 32. у t + e3t

A: topic-derivative

Q: xy = e2x; y 3.

A: Given           xy=e2x

Q: x+D メD

A: To Determine: we have a function then find the derivative Given: we have a function Z(x)=Hxx-D2+x2…

Q: Evaluate the second derivative of  the image if a = 380 and b = 0.4 at x = 5 using BDA  with Δx…

A: The finite difference formulae can be used to calculate the derivatives of the functions. The…

Q: Find the derivatives of the functions in Exercis

A: The rate of change in the value of the dependent variable with respect to the change in the value of…

Q: Find derivative. Yca) = tban (20te

A:

Q: Find the derivative. (Hint: take the natural log of both sides.) y = x3x

A: We will take log on both side to get the answer.

Q: 9. 4x + 3y = In(4x – 3y); y %3D

A: Given:            4x+3y=ln4x-3y Find; y'           ddx4x+3y=ddxln4x-3y Apply the sum rule:…

Q: Find the derivative of the following function. y =2•5% y'%3D

A:

Q: y = √√2x + 7

A:

Q: 4х — у (A) х+у 4х + у (B) х+у 4х + у х+у 4х — у D х+у

A: The given function is:4x2+2xy+y2=0

Q: What is the derivative of y = 4 coth^-1 (9x-3)

A: Concept: Hyperbolic function derivative: As differentiation of a function establishes the rate of…

Q: Find the derivative of the given function.     y=x^3/5

A: Use power rule to obtain the derivative of given function.

Q: Finally, we factor out the y' and divide, to conclude that the derivative is y'

A: Since it is already solved till part 4 of 5 Therefore, part 5 of 5…

Q: Find the derivative. y= e9x/e9x+4

A: detailed solution is given below

Q: Find the derivative of: 87 z10 Tyne vouur answer without fractional or negative e

A:

Q: Let y=x(lnx)^2. Find the value of x for which the second derivative y"(x), equals zero.

A:

Q: Find the derivative of ?(?) = 6 sec2(7x? − 3).

A: Follow the procedure given below.

Q: Find the derivative of the function. y = /x(x - 3)? y' = %3D

A:

Q: h(x) — Зсosh 1 Csc

A: Let's find.

Q: Give the derivative formula for the function. h(x) = 12(1.7*) h'(x) =

A:

Q: 19. e* +e = e**y

A: Solution ) ex + ey = ex + y  Differentiate with respect to x d/dx ( ex + ey )  = d/dx ( ex + y ) […

Q: A particular car club has found that the number of members can be modeled M(t) since the year 2010,…

A:

Q: Explain why the functions ƒ and ƒ + C, where C is a constant, have the same derivative properties.

A: It is known that the derivative of constant function is always 0. Also, It is known that the…

Q: Find the derivative of ?(?) =5/13sin2(5?). using the chain rule

A:

Q: Find the derivative of y with respect to s. (56° +3) У3 sec

A:

Q: Use the Chain Rule to find the derivative.

A: First of all, consider the formula for the chain rule and the given function y. Then assume u and v…

Q: Find the derivative of B(y)=cy^-4

A:

Q: The derivative of a constant times a function is 0. OTrue O False

A:

Q: The order of diff. eq. is the high * .derivative that acquire in DE True False O

A: The statement is given by '' The order of differential equation is the high derivative that acquire…

Q: Find the derivative of the function. Simplify wherepossible.

A:

Q: yFSin 2e

A:

Q: Find the derivative of ?, implicitly of  BY SHOWING ALL STEPS When N=11 and M=3

A: Given that lnMxy-tanNx+My=e-M-MyN And N=11 and M=3

Q: Calculate the derivative. h(t) = 5et−3

A:

Q: Please solve and simplify

A: Simplify the given function as follows.

Q: (х+у)? 2ах y"'

A: Here we have to do implicit differentiation

Q: e of each implicitly. Answer nu

A: We have to derivative the following,  2) xey+xy=xtany ........(1)3) xlnx=y........(2)

Q: y= と

A: Explanation of the answer is as follows

Q: Find the second derivative of the function. s = + 9t + 5

A: