Find the derivative of the function. (7t-3)7 r(t) = 87 +5 %3D

Q: Determine the second derivative of the given equation 2x® - y? = 1 - 4y -3x²(y + 2)·1 -бх(y + 2)1 -…

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

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Q: The function y=(x^3 - 6x)^3 terminates at nth derivative. a. 7th b. 10th c. 4th d. 9th

A: For a function f(x) its derivative is defined as limh→0f(x+h)-f(x)h. For some standard functions the…

Q: (A) Find the derivative of t3 – 1 %3D t3 +1°

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Q: p(q)=2q^2-4q+5; q=2 find the derivative

A: We know that fx=xn then f'x=nxn-1. We have, pq=2q2-4q+5 Calculating derivative of function pq with…

Q: Find the derivative of the function. 9(t) - t2 g'(t) »

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Q: d (3a³e" + 6x²) dx Calculate the derivative:

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

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Q: g'(x) = Find the derivative of the function g(x) = e² 52+3

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Q: Find the derivatives of the functions ƒ(t) = t2 - 1/t2 + t - 2

A: We write f(t) using exponents first, then find the derivatives using the power rule.

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. g(t) = (4t + 5)2 (5t? - 2)-3

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Q: f(x) = 4x^2 - 4x^3 + 4 What is the slope of the tangent line at x=2?   What is the equation of the…

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Q: Find the derivative of the function g(t) =(( t-2) / (2t+1)) 9

A: we have to find the derivative of the given function g(t)=t-22t+19

Q: f(x) = 3x² – 11z – 7; a = 2 The slope of the tangent to the curve at a = 2 is

A: Definition of derivative :The derivative of a function at a point f'(a)=limh→0f(a+h)-f(a)h

Q: f(x)=7+2x−2x^2, find the equation of the line tangent to the curve f(x)

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Q: Find the derivative of the function. 8x-9 5x +6 The derivative is y=||

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Q: Find the derivative of the function. y =  ? (2x)5 y'(x) =

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Q: Find the derivative of the function. 4x - 3 y = 9x + 8 The derivative is y' =|

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Q: Find the derivative of the function. s(t) = 48 (4t° - 5) s'(t) =

A: Solution: apply chain rules. Below in full solution

Q: 3x +1 Find the derivative of the function y and simplify the answer= 7x - 2

A: it will be solved by uvrule which is:   let y=uv then dydx=vdudx-udvdxv2

Q: Find the derivative of the function. g(t) = (9t + 6)2 (6t? - 6)-3 g'(t)

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Q: The function is given by implicitly by the equation xy² +x?y+x?y² = 3. Find the derivative of y in x…

A: Here we use derivation in the function

Q: Find the derivative of the function. y = e−5x6

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Q: Find the derivative of * r= 2t fr - 3F +6

A: Using rules & formulas of derivatives.

Q: Find the derivative of the function.

A: The derivative of a function can be calculated by differentiating the function with respect to the…

Q: Find the derivative of the function g(t) = ((2t - 1)2) / ((3t + 2)4 )

A: We will need quotient rule. So assume u and v:

Q: 3x 4 e Find the derivative of the function y = - 5x +3

A: The given function is 4e3x5x+3 to find the derivative of the function of the form uv use the formula…

Q: Find the derivative of the function. g(t) = (2t-2)2/(3t+6)4

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Q: 9x -7 y = 5x + 2 The derivative is y' =U.

A: y=9x-75x+2

Q: Find the derivative of the function. y = x2e−8x

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Q: 2x + 5 The equation of the line tangent to f(x) = at x = - 1 is x + 2

A: Given function is y≡fx=2x+5x+2    ...1 and point is x=-1

Q: Find the derivative of the function. g(t) = (3t2 + 4t − 8)/t3/2

A: The function is gt=3t2+4t-8t3/2.   If a function is of the form, y=fxgx, then the derivative of the…

Q: Find the derivative of the function. h(s) = -2/75² + 9 h'(s) =

A: Given that hs=-27s2+9To find : derivative ,h'sSolution ;hs=-27s2+9h's=-2×127s2+9×14s

Q: Find the derivative of the function. 2 m= Choose the correct answer below. (2)0) - (n?) (2n) m' OB.…

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Q: Determine the derivative -d/ 4 8 +³−1 - 17x y= y = 25 x-5 x+6

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Q: 음고+ 음 + 2V- e The first derivative of y = 3x5 is %3D

A: Recall: dxndx=nxn-1 dc1f(x)±c2g(x)dx=c1df(x)dx±c2d[g(x)]dx ; where c1 and c2 are constants.…

Q: 1 B2 (a): Find the derivative of the 2x + 1 function y and simplify the answer: 6x – 9

A: Quotient rule for differentiation states that f(x)g(x)'=f'(x)g(x)-f(x)g'(x)(g(x))2. Use the property…

Q: Obtain the derivative of the function f(2)% 3 -3a° – a* + 4x. Enter your answer as a function of a :

A: Given that f(x) = -3x2 - x4 + 4x  Find derivative of this function f(x). We know that derivative of…

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 the function. 5x -7 y = 2x+1 The derivative is y' =|

A: Consider the function; y=5x-72x+1

Q: Find the derivative of the function. 9+4x - 8x y = y' =D %3D

A: We obtain the derivative of the given function y by using the quotient rule of differentiation. We…

Q: Q2/ Find the derivative of the function (x) =Vx? - 3 by definition

A: Use the definition of the first principal:   ddxfx=limh→0fx+h-fxh So, ddxx2-3=limh→0x+h2-3-x2-3h

Q: The derivative of the function y = 2t 1 A V2t 1 2t/2t 1 2t/2t 1 D B.

A: Definition used -            Power rule of derivative -…

Q: Find the derivative of the given function. と? y = (x2 + 4)(2x3 – 1) 4)(2x

A: Given- y=x2+42x3-1 To Find- The derivative of the above function. Formula Used- If m and n are two…

Q: Find the derivative of the function y= 5,3x 2x+3 The derivative is

A: Topic -derivative

Q: Find the derivative of the function. h(t) = t?(7t + 2)3

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Q: (b) Find the derivative of the function f(r) = ( + 6)1²(4 – 17.")18 X -

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