3x Find the derivative of the function y= 5х + 3 The derivative is

Q: Evaluate the derivative of the function at the given point. y = t= -3 7t +1' y' =(Type an integer or…

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Q: Find the derivative y’ Y = xe^4x

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Q: Find the derivative of the function. y = e−6x5 y' =

A: We use the chain rule

Q: (a) Find the derivative of the function f(x) = S %3D ex-1 (b) Find the derivative of the function…

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Q: Find the derivative of the function. h(s)= -2√3s² + 2 h'(s) =

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Q: Find the derivative of the function. y = x(8−3x)

A: To calculate the derivative use the u by v rule: ddxu·v=udvdx-vdudxv2

Q: Find the derivative of the equation √(xy) = x-2y.

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

A: The objective is to differentiate the function with respect to t.

Q: Find the derivative of the function. y =  e9x − e−9x e9x + e−9x

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Q: Find the derivative of the function below. (Do not simplify your answers, and SHOW ALL STEPS) 7x? +…

A: We differentiate the function here.

Q: 3x2 + 2x Determine the derivative of the function f(x) = cot x

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Q: Find the derivative of the function. 5х-7 y = 2x + 1 The derivative is y' =

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Q: derivative(y

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Q: Final Final Answer: 8. Find the 2nd derivative of Answer: 3 y = In(7 – x³) 9. Find the 3rd…

A: In the question we have to find derivatives of given function.

Q: 2a y – k= Find the Derivative - d/dy Find the derivative using the chain and power rules. 2ay C Tap…

A: Find the derivative of  y-k=2a/y'.

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

A: s = 3(8t4-7)4

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

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Q: Find the derivative of the function. y = e−4x5 y' =

A: Given y=e-4x5We know that ddx(eu(x))=eu(x)*u'(x)=e-4x5*ddx(-4x5)=e-4x5(-4*ddx(x5))

Q: 3x' +2Vx For the function F(x)= find the first derivative and simplify.

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Q: а. Consider the functions y = 2u² + 3u and u = x². Find dx b. Find the derivative of the function…

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Q: 10. y = (e3x+4 +2)/(e2*3x +1)

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Q: asider the function f(x) = sin(2a). Find the derivative of f(x).

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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: 3x+2 2 dx find the first derivative 9x y

A: Given :y=3x+29x2

Q: v(t) = V - Vi, then find the second derivative, v"(t) :

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Q: f(a) - ( - 5) * The second derivative is f"(x) -

A: We will use differentiation rule

Q: 12 - 3t 2) Find the derivative of y= T+I

A: Given function is y=t2-3tt+1 Quotient rule of differentiation states that: ddxuv=vddxu-uddxvv2…

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: Find the derivative of the function. y = x?V 36 – x² y' = Need Help? Read It

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Q: Find the derivative of the following function: y=7-4x/5+2x

A: Definition used-      Quotient rule of derivative -…

Q: Find the derivative of the function. y = a6 + cos6 x y'(x) =

A: Given

Q: Q1) Find the first derivative of the following equations: y = x'V

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Q: xArctanx - Invx² + 1 = y

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Q: 6x + 2 ] B2(a): Find the derivative of the function y and simplify the 5x – 8 answer: B2 (b): The…

A: (a) Given function is y=6x+25x−8 Formula used: ddxfxgx=gx⋅ddxfx−fx⋅ddxgxgx2 Differentiate y=6x+25x−8…

Q: Find the derivative of the function. s = t14

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Q: p(x) = (-2x)f(x), q(x)= f(g(x)), r(x)= 31 Use the table to find the derivative values. f(x) %3D

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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: f(x) = 4e−2xsin(x2) 1. What is the first derivative of the equation? 2. Find f′(−1) manually.

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Q: Q2. Find the derivative (the first derivative): a- Y = In (7-2 x 3 )4 Y= (3 x4+9)/(x+5) C- b- 100=…

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Q: Find the third derivative. y = 6/x

A: y=6x Will use the power formula for derivative ddx(xn)=nxn-1 Here, the function can be written as:…

Q: Find the second derivative (y") of the following function step-by-step and simplify the final…

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Q: 4. y = 2xi+x“

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Q: x² +1 Find the second derivative of the function, f(x)= x² -4 %3D

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Q: Find f"(x). 5, f(x) = / (x² + 7) ª Tip: This question askes for second derivative. Mu

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Q: (x² + 4)(x – 2)² Vx +7 g(x) = In %3D Find the derivative of this function, g'(x).

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Q: Find the derivative of the function. (1² - 5t) S =

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Q: Find the derivative of the function. h(t) = 8 ln(t3)

A: The given function is ht=8 lnt3. Obtain the derivative as follows.

Q: Find the derivative of the function. y = 4t   t + 7 y' =

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