Find the first and second derivatives of the function. g(t) = (3t2 - 3)2 (8r?) %3D

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

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Q: Find the 1st and 2nd derivative of this function: x=(t-2)5/2  y=t3-5

A: We will differentiate the function twice to get the first and second derivatives as follows while…

Q: 3. Find the first and second derivatives of the function f (x) = e¬²

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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: Solve the initial value problem: f(x)%=x7+12x+17 and f(0)3D3. Find the derivative of the function…

A: Derivatives is the rate of change.

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 first and second derivatives of the function. g(t) = t°(6t + 5)* g'(t) g"(t) =

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Q: Find the first and second derivative of this function: x=(t-2)5/2  y=t3-5

A: We have to find derivative

Q: Find the first and second derivatives of the function. g(t) = t2(6t + 5)4

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Q: Find the derivative of the function y = xe2 %3| Select the correct answer below: O e2r (2a + 1) O…

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Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: find the first and second derivatives

A: According to power rule of differentiation , ddx(xn)=nxn-1  and according to sum rule of…

Q: Find the derivative. (e^(x^3+1))^4

A: Given :

Q: Find the derivative of the function. 6 g(s): (s³ - 5)3

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

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Q: II. Find the first, second and third derivative of the function s = 3(8t" – 7)"

A: s = 3(8t4-7)4

Q: N g'(x) = Find the derivative of the function g(x) = (3x²5x + 1)e²

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

A: We have to find derivative

Q: Find the first and second derivatives of the functions

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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: 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.

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

Q: Find the derivative of the function. 5/2 9(3) = (s* g(s)

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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: 6x?e- is The derivative of y a) None of these b) 6xe (2 – x) - c) 6xe (1 + x) d) 12xe (1 – x) - e)…

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Q: Q3/ B) Find the derivative of the following functions. 1. ay=(x-y*+1 2. y=e*

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Q: Find the third derivative of the given function. o1) = ()2 - 3)* g"(t) =

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Q: Find the derivative of the function.

A: the given function is: hs=s5+2s+6s13 we have to find the derivative of the given function.

Q: Find the derivative of the function. u(x) = (x² + 1)3³ ? - 1

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Q: Find the first three derivatives of the function h(x) = 3 + 4x³ −3+7

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Q: Find the first and second derivatives of the given function. f(x) = e *(3 + 3x)? Calculate f'(x).…

A: The given function is fx=ex3+3x2

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 g(t) = log2(t2 + 7)3

A: The given function is: g(t)=log2(t2+7)3 To find the derivative of this function, use the chain rule…

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 first and second derivatives of the function. g(t) = t²(6t + 3)* %3D

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

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Q: Find the first and second derivatives of the function. L(t) = 1+2.le 16 3.9t

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Q: 5) e*. 5*

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Q: Find the second derivative of the function. (e) = ?e-6t

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Q: 2. Find the derivative of each function a) y=(2x+5)/(3x-2) b)f(s)=((square root of s)-1)/((square…

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Q: Find the first and second derivatives of the functions r =(θ - 1)(θ2 + θ + 1)/θ3

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Q: The third derivative of y=x is A) 0 B c) None of the given choices D) 6x E) 3x

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

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Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of…

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Q: 4. k(x) = (4x³ – 7x² + 5)/4e*

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Q: (c)Find the derivatives of the following functions (i) y = 2v (ii) y = log1o(5x' + 3x² – 5x) (iii)…

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Q: 6. Find the second derivative of the function. f(P) = v1– 2P7 eC-2P

A: Some derivative formulas: ddx(fg)=fg'+gf'ddxfg=gf'-g'fg2ddx(a)=0ddx(xn)=nxn-1

Q: 4. Find the derivatives of the following functions. a. y= 2x b. y = x³ C. y= 4x -7

A: a. y=2x Differentiating both side with respect to x dydx=2b.y=x3Differentiating both side with…

Q: Find the derivative of the function.        g(s) = 6/(s3 − 2)3

A: The given function is gs=6s3-23.