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

Q: s(t) = 5cos -t 4

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Q: Use an appropriate form of the chain rule to find the derivative. R = e3s=t"; 3s-t2 s = 4ø, t= $/2…

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Q: Calculate the derivative of y with respect to r. xe = 5xy+3y Answer(s) submitted:

A: Given:         xey=5xy+3y3   Differentiating on both sides we get         ddxxey=ddx5xy+3y3…

Q: Find the derivative of the function y= 6e 4x 3x+4 The derivative is

A: Please refer the attached image for complete solution.

Q: Use an appropriate form of the chain rule to find the derivative. R = e8s-t; s = 4¢, t= ¢/2 dR dø ||

A: Given: Now,         dRdϕ=∂R∂sdsdϕ+∂R∂tdtdϕ      =e8s-t2· 8dsdϕ+-2e8s-t2tdtdϕ      =e8s-t2·…

Q: Find the derivative of the function. y = x?e* - 2xe* + 9e* y' =

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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: use the Chain Rule to find the derivative. y = (t2 + 3t + 1)−5/2

A: Given: y=t2+3t+1-52 Let, t2+3t+1=u Then, by using the chain rule dydt can be found out as,…

Q: Find the y ( the fifth derivative ) of y =D x5

A: y=2x5⇒y=2x-5 Differentiating with respect to x, we get y'=2-5x-6     ∵dxndx=nxn-1=-10x-6 Again…

Q: Calculate the derivative of the following function. y=e5x(5x+6)4

A: see below the calculation

Q: Use an appropriate form of the chain rule to find the derivative. R = e8s-t. = 4ø, t= ¢'/2 S dR dø…

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Q: Find the derivative of g(t)= 5cos2(piet+2)

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Q: Find the derivative of the function. (e) = (3t + 18)2/3 f "(e) =

A: Given f(t) = 3t+1823f'(t) = d3t+1823dtwktdf(t)ndt = n·f(t)n-1·f'(t)

Q: Find the derivative of the function. F(t) = e-2tcos(2t) F'(t) =

A: Given function is We will find F'(t) by using chain rule of differentiation as follows. .

Q: Find the derivative of y with respect to the independent variable. 6- e y=t O A. (6- ers-e O B. (5-…

A: The derivative of xn is given as,ddx(xn)=nxn-1

Q: Given the function y=x2cos3x. Find the third-order derivative.

A: To Determine: Third derivative of given function:

Q: Use an appropriate form of the chain rule to find the derivative. R = e5s-t; s = 7p, t = 4/2 dR dø

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Q: Find the derivative of the function. y = x?e* – 2xe* + 4e* y' =

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Q: 19. D 20. 21. y = x + 1

A: We have to find derivative

Q: Find the derivative of the function g(t) = t2et

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Q: Find the derivative of the function.

A: Given function is gt=lntt2. To find the derivative of the function. Solution: Quotient rule of…

Q: Find the derivative of the following functions: 3) y = x2/3 + etanx + 6csc2x

A: We have to find the derivative of the function…

Q: Use an appropriate form of the chain rule to find the derivative. R = e5s-t"; s = 7¢, t 2 dR %3D do

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Q: Find the derivative of w=(t^5+13)^138

A: Here , we use the power rule to find the derivative , if w= t^n ,then dw/dt=n (t^(n-1)) and if w= k…

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

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Q: Use the Chain Rule to find the derivative of the function. y = (x + Sx?)-1

A: Derivative of function

Q: Find the indicated derivative. dp for p = 1 - () 4q dp P. %3D

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Q: Find the derivative of the function. F(t) = e7tsin(2t)

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Q: Find the derivative of the function. g(t) = e-6/t6 6 = (?),6 ,7 g'(t) 36

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Q: Find the derivatives of the functions y = 92t

A: The function is y=92t.   Differentiate the function with respect to t. dydt=ddt92t=92ddtt=92

Q: Find the derivative of the function. 4 e W 7w dr dw %3D

A: We have to find the derivative of the given function

Q: xVx? +1 y = (x +1)

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Q: Find the derivative of the function y = 1ln(cos 2x)+4tan? (3x) Write the value of y (0) in the box…

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Q: Find the indicated derivative. If y = x5 – x/2, find d?y dx2 d?y x2 %3D dx

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Q: Use an appropriate form of the chain rule to find the derivative. R= e5s-t. s = 80, t= ¢!/2 %3D dR…

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Q: Find the derivative of the function. y = (e9u − e−9u)/(e9u − e−9u)

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Q: y= 5e* 5e

A: some important differencials

Q: Find the derivative, but do not simplify your answer. y = (x? + x + 2)(Vx - 2Vx +9)

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Q: Find the second derivative, d72 where y is related to x implicitly by the equation below. 5a -y = 10…

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Q: 3. 6. t ca)

A: The chain rule of differentiation is to be used to find the derivative of f(x)=(x3+x-1)3. The chain…

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

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Q: findthe derivative wer) r+13 dw = ? dr

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Q: y=メsn?3%

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Q: Find the derivative of P with respect to t 4 P = (3t2 + /t)

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Q: Find the derivatives of the functions y = x9/4 + e-2x

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Q: Use an appropriate form of the chain rule to find the derivative. R = e7s-t; s = 9ø, t= $/2 dR dø

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Q: Find the derivative of the function w=(9r−4)^4. dw/dr=?

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Q: Find the second derivative of the function. f(t) = t?e-5t f"(t)

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Q: (х+у)? 2ах y"'

A: Here we have to do implicit differentiation

Q: Find the derivative of the following: w = (t3 + 5t)(t2 − 7t + 2)

A: We hve to differentiate  function f(t) where f(t) is given.After expanding f(t) we found new f(t)…