dy The second derivative for the function 7y + 12x = 3x² is

Q: Find the derivative of the function. f(t) = 8r2/3 - 4t/3 + 8 f (t)=

A:

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

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Q: Find the first, second and third derivative of the given function. -4 7. f(x) = (t+2)?

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Q: Find the first derivative. y=T° + 2T5 -6T - T-7 P. ( +27 -6T-T-7) = dT

A: Explanation and solutions is given below....

Q: Calculate the derivative indicated.

A: Given:                    x=t-34 Find: First order derivative…

Q: The derivative dy for the function y=($ +5> 515

A: Here we will use power rule to differentiate

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: For the pair of functions, find the derivative of the composite function k(t(x)) in terms of one…

A: Given,            K(t) = 4.4t3 - 8t2 + 5t - 11             t(x)  = ln x              dtdx = ddxln x…

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

A: We have to find derivative

Q: Find the derivative of the function. f(t) = 8r2/3 - 4t/3 + 8 f '(t)=

A:

Q: Find the derivative of the function. 4 q(y) = 3y? (2y? + 1) q'(y) =

A:

Q: Find the derivative of the function.

A: We have to find the derivative of the function: st=14-5t-t2 We know the formula of derivatives,…

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

A:

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

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

Q: dy The second derivative dx2 , for the function 7y + 13x = 3x2 is 3 7 6. O y" 14 3 7. 3 ||

A: Given 7y+13x=3x2

Q: Find the derivative of the function described. (Rx5) 1E 32 4. f (x) = (1+x² )*²

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Q: Find the second derivative of the function. -5t 7e e f(t) = 4e

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Q: Find the second derivative of the function F(t) = 3tsin(r³). Answer F"(1) =

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Q: Q9. Which of these is not the derivative of the function, y = x": A. -½x-1½ B. –0.5x-1Vx-1 C. –0.5 1…

A:

Q: Q4// Find first and second derivatives of the function (3xy + 7)² = 6y.

A: Given: 3xy+72=6y for finding first derivative we differentiate both side and for second derivative…

Q: d ) Find the derivative: dx rcos(z) V1 - t2dt

A:

Q: Find the derivative of the function. 4 24 y=. VF X X

A:

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

A: For both questions we have to apply chain rule and product rule.

Q: 6e + 4 Find the derivative of g(x) 10r5 + 5x3 %3D = (z),6

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Q: d²y The second derivative for the function dx? 7y + 14x = 5x² is O y' = 9 7 y' = } %3D y" = } %3D O…

A: Solution :-

Q: Find the derivative of the function. 8. 6. y%D +-+5 3 4 dy %D dx

A: Using rules & standard formulas of derivatives

Q: Find the derivative of the function. 4x° + 6 y = y' = D %3D

A:

Q: Find the (i) first and (ii) second derivatives of the functions below a. y = r² +x+ 8 b. y = (2 –…

A: solution

Q: t2+3 Find the derivative of f (t) and simplify your answer as (r²–3)* much as possible.

A: Given,  ft=t2+3t2−32Formulaused :Quotient Rule of derivative→ddxuv=u'⋅v−u⋅v'v2

Q: Q6/Find the derivative (df/dx) f(x) =+5 e* %3D -4 x-7/3 + 5e* x-7/3 + 5e* O 1, O 2 Fr73 + 6e"

A:

Q: 12. Find the derivative of the following function. y = 71n(x -4) a. x3-4 b. Зx? х* c. d. 21x?

A: To find the derivative of the below function.          y = 7ln[x3 – 4]

Q: V(7x – 7y)³ – 2y? = 8x

A:

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: Q9. Which of these is not the derivative of the function, y = x": A. -½x1½ В. — 0.5х-1Vx-1 С. -0.5 1…

A: This is a problem related to differentiation of the function. Based on the general formula and…

Q: Find the derivative of the function. -2 y 14x-6x-9x dy dx

A:

Q: Find the derivative F'(x) F(x) = (t? - 2t + 3)dt 1. -t2 +3t +c 3 О x2-2х +3 O x2 - 2x +5

A:

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: Q3. Find the derivatives of the functions 2x + 5 a) y b) w = (2x – 7)(x + 5) Зх — 2 5x + 1 с) и 2 Vx

A: We have to find the derivative of the following functions a)  y=2x+53x-2 b) w=(2x-7)-1(x+5) c)…

Q: Find the derivative of each function a. y3 (2z-3) (V비 -1) b. 4t2+11 f (t) = t2+3 c. s (t) = 12(2t4 +…

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Q: Q7/ find the derivative (, df. 1 f(x) = + 5 e* x4/3

A:

Q: Find the second derivative of the function. 2- 2x2 + x6 y = x9 elect one: A. d2y 180 12 dx2 x11 B.…

A: Derivative of function

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

A: Explanation of the answer is as follows

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: t3 – 3t? + 5t dt Find the general anti-derivative:

A: The solution as follows :-

Q: d²y 2. Find the second derivative of x? – 3xy? + y3 = 15 dx?

A: The given equation is; x2-3xy2+y3=15.

Q: Find the derivative of the function. 4x° +8 y = y' =O

A: We have to find