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

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: Find the derivative of the function. F(t) = e4tsin(2t)

A: Find the derivative

Q: Find the derivatives of the functions w = re-r

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Q: Find the derivative df/dk. " f (k) = ek + a*

A: Find the derivative of the given function.

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 y=ax+ba+b, where a and b are constants.

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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: 2. If u3 = a³t, find· d?u where a is a constant. dt2

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Q: find the values of the derivatives

A: Given,r=24-θ Our aim is to find drdθat θ=0,

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

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Q: Find the derivative of the function. F(t) = e9tsin(2t)

A: differentiate the given equation with respect to t using product rule and chain rule

Q: QW) = ? + y3 3.

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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: Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = 2x2…

A: Given function is gx=2x2-3x. We know that, f'x=limx→cfx-fcx-c Using the above formula of derivative,…

Q: Find the derivative of the function g(x) = (2a? – x + 5)e"

A: Our Aim is to find the derivative of (2x2-x+5)ex.

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 the functions. a. y= e5x а. b. y= er-3 c. y= ecos x

A: NOTE : as per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

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: Find the derivative of the given equation below. d (Va + bs) ds

A: Consider the derivative ddsa+bs To find the derivative use the below rules exponent property,…

Q: Find the derivative of the function. g(t) = e-1/t9 | %3D

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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 derivative. y= e9x/e9x+4

A: detailed solution is given below

Q: Calculate the derivative of the following functions. y = csc (t2 + t)

A: Given function is y=csc(t2-t)

Q: compute the derivative. g(t) = e4t−t2

A: The derivative of a function is given by the expression f'(x)=limh→0f(x+h)-f(x)h. For some standard…

Q: Find the Derivative of each function

A: The given function is: Py=lnyey This can be written as: Py=e-y lny  To differentiate this, apply the…

Q: find the derivative of h(t)=t^3(4t-2)

A: Note:Hi, the given function h(t) = t^3(4t–2) is not clearly specified. The equation can be…

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

A:

Q: Find the derivative of the function w=e^(−5t)^5

A: We have to find derivative of w(t) with respect to t,where w(t) is given by

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: Find the derivative of h(x) = e$ec(x-n)

A: dexdx=ex dsec(x)dx= sec(x) tan(x) d(xn)dx=n.xn-1

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 t2 + e3t e(t²+1) f(t) = %3D

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Q: zチー1 メニ」t

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Q: compute the derivative g(t) = e4t−t2

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

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Q: (i) y = e5x

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Q: y=メsn?3%

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Q: Find the implicit derivative given a³ – 2b² = 7ey

A: For the implicit differentiation, we take y as a function of x and a, b are constants. We are given,…

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

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

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Q: Find the derivative of the function. h(t) = ln t/(t3 + 5)

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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)…