Find the derivative of the function. (Sim g(t) = V7 – 4t3 %3D %3D = (?), 6

Q: Find the derivative of the function. t3 2 h(t) : to + 3 h'(t) =

A: Given function: Used formulas: Chain rule of differentiation, Quotient rule of differentiation,…

Q: Find the derivative of the function. y = sec 2 ( m b)

A: We need to find the derivative of the given function.

Q: Find the derivative of the function. 8y9 y= In V+9 6.

A: The solution are next step

Q: r(s) = V2x² + 3x – 1 %3D

A:

Q: Find the derivative of the function. h(t) (t5 - 1)(4t2 – 5t – 3) =

A:

Q: Find the derivative of the function f(t) = 32t/t

A:

Q: Find the derivative of the function.

A: ddx3x2+4x-8x32Apply the Quotient Rule:  fg'=f '·g-g'·fg2=ddx3x2+4x-8x32-ddxx323x2+4x-8x322Solving,…

Q: Find the derivative of the function. 8. y = 7 dy %3D xp

A: As we know thatddxxm=mxm-1

Q: Find the derivative of the function. y = V 3 + 2e7 II y' = %D

A: To find detivative of y=√(3+2e^(7x))

Q: Find the derivative of the function. y = V 3 + 8e6x

A: To find the derivative of given function.

Q: Find the derivative of the function w(s) = 10eVs.

A: To find the derivative of the below function. ws=10es

Q: Find the derivative of the function.

A: Given function - g(s) = 6s3-23g(s) = 6s3-2-3Differentiating on both sides with respect to 's' -…

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: In the given eqaution/s, find the derivative of the function:-   f (t)= (9t + 2)2 /3

A: Consider the given function. ft=9t+223 The chain rule is defined as. dfgtdt=ddtfgtddtgt

Q: QW) = ? + y3 3.

A:

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

A:

Q: Find the second derivative of the function F(t) = 5tsin(r³).

A:

Q: Find the derivative of the function. h(t) = t2(2t + 3)3

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Q: Find the derivative of the function.

A:

Q: Find the derivative of the function. Re) = (6t + 17)2/3 f '(t) =

A: Given  ft=6t+723 To find the derivative chain rule is used F't=f'gxg'x and the derivative used…

Q: Find the derivative of the function .

A: The given function is  ft=t23-t13+4

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

A:

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: 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: 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: Find the derivative of the function. 8t? f(t): V 5t2 + 4t - 1

A:

Q: Find the derivative of the function. 1 s(t) = t2 + 8t – | s'(t) =

A:

Q: Find the derivative of the followi (a) x = t2 + 5t + 4, y = 4t

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Q: Find the derivative of the function. s(t) = 44 (8t° -5) %3D s'(1) =D 65

A: st=448t3-565

Q: Find the derivative of the function. f(t) = (9t + 16)2/3

A:

Q: Find the derivative of the function. f(t) = (9t + 2)2/3

A: We have to find the derivative of the function f(t)=9t+223.

Q: Find derivative of the 6tanx following function d d.x

A:

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

A:

Q: Find the derivative of the function. y = − 3/(t − 2)4

A: y=-3t-24⇒y=-3t-2-4

Q: Find the derivative of the function. 8. 7t2 + t

A:

Q: Find the derivative of the function. y = xe¬x8 y' = (1 – 8r*) e=*

A:

Q: (a) Find the derivative of the function y (13 +1)10 %3D dt

A:

Q: 3at? y=- 1+t? Зat X=- 1+t?

A:

Q: Find the second derivative of the function F(t) = 4tsin(r4).

A:

Q: Find the derivative of the function. f(t)=(1+sqaure root of t)(2t^2-3)

A:

Q: Find (a) the derivative , y = dy 4 -32x

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

A:

Q: Find the derivative of the function f(y) = tan1(9y° +4).

A: f(y) = tan-1 (9y3 + 4) Here, we have to find the derivative of the given function, f(y)

Q: State the derivative of the following functions a) y = -x* 2. b) y = c) y = 2cos(x²)

A: Authoring guidelines:…

Q: The derivative of the function y = xe(5+sec(2x)) is: хе %3D

A: Explanation of the answer is as follows

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)…

Q: Find the derivative of the function g(t) = 23t / t2

A: Given: gt=23tt2 We know that ddxuv=vdudx-udvdxv2                                         ..1