Find the derivative of the function. 3 – 2x – x2 x2 - 5 f(x) f'(x) = Find the derivative of the trigonometric function. f(t) = t6 sin(t) f '(t) =

Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y= xVx-2…

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Find your answer below

Q: - a. Find the derivative of 3y – 2xy² = sin x + cot y b. Find the derivative of 2y x(3³) – In(²/²) =…

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Q: The second derivative of the given function is - 5 sin (2- 5x) -125 sin (2 - 5x) 125 sin (2 - 5x) O…

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Q: 3. Find the derivative of the following functions using the definition of the sine and cosine…

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Q: 5cos3(x) Гу 3 sin(3–2x) + tan? (3x? — 4х) — csc(/2x — 1

A: Differentiate y w.r.t x.

Q: 13 Find the derivative of the function. Y = 2² + cos" (xx) a

A: Solution:- Given function is  y= a4+cos4(x)           ----------(1) Here, the variable is 'x' and…

Q: 6. In(x³y²) = x² +y³

A: Let's find second derivative of given function.

Q: 1. Find the first derivative of y with respect to x (y') of the given function 1. x'y-xy? +x? +y? =…

A: As per guidelines we have to solve one question

Q: (a) Find the derivative of the following functions (i) y = a² sin“ x +æ cos-2 x. (ii) y = e(+v#+x²),

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Q: Find the first and second derivatives of the function  G(t) = 2 cos t - 3 sin t

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Q: 3. (a) What is the derivative of sin(g(z))7 (b) What is the derivative of sin(2r + T)?

A: We have to find

Q: 2: Find the derivatives of the following function with respect to x. i) x = sin h' y

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Q: 3. Find the derivative of the following functions, then use the derivatives to find the equation of…

A: Given function is f(x)=2x+3 find the equation of tangent lines at x=-1 and 2

Q: Find the derivative of the following with complete solution A. y = sin x - 1 / cos x B. y = x^2 sin…

A: To Find the derivative of the following with complete solution

Q: 1. Using the definition of derivative, find the derivative of the following functions: 1 (a) y =xVx²…

A: Since you have asked multiple question, we will solve the first question for you . definition of…

Q: Find the derivative of the function at P, in the direction of A. f(x,y) — - Зху + 4y*, Po(-6, - 5),…

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Q: b) Find the derivative f'(x) in the following cases. 5x+1 1. f(x) = 2x-1. 2. f(x) = 3. f(x) = csc x…

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Q: x²+x' Evaluate the derivative at x = 1 for y = In () %3D

A: Some common derivatives are, ddx(ax)=ax.loga+C ddx(logf(x)=1f(x).f'(x)+C Quotient rule of…

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

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Q: 3. Find the *_ 2° L_weak derivative her XE [0,2TC] XE

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Q: Q. / Find the derivative of y = (In(x²))'n(x²).

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Q: Q. 2. a) Find nth order derivative of f(x)= ln(2x-7). b) Find 3rd order derivative of y with respect…

A: The function fx=ln2x-7. The first derivative of the function fx=ln2x-7 is computed as follows,…

Q: 2. y = a Cos-1 (1 -2) + V2аx — х2 a

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Q: The third derivative of y = sin is b) y" =-co а) у -sin 8 c) y" = -8sin d) y" =-8cos

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Q: 4 a. Use implicit differentiation to find the derivative dy/dx of the given function. b. Find the…

A: The objective is to find the derivative and slope at the point .

Q: B. Find the derivative of the following functions, then use the derivatives to find the equation of…

A: f(x)=2x+3 at the points x=-1 and x=2

Q: (b) Find the first 4 derivatives of ƒ (x) = b cos (x), and use the results to find the following…

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Q: Find the derivatives of the functions

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Q: Find the derivative of the function y=  Square Root of 2−7x and evaluate it at x=0.   Square root of…

A: Given function, y=2-7x To find, dydx at x=0 Formulas used, ddxxn=nxn-1ddxconstant=0ddxCfx=Cddxfx…

Q: (a) Find the derivative at x = −1. (b) Find the second derivative at x = −1.   h(x) = 2x4 + 8x3 +…

A: (a) The given function is

Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y = xvx²…

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Q: 1. Find the derivative the following functions y=-10x+ cosx y=x'sinx

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: x' Find the derivative of h(x) sin x 4x2+2

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Q: 3. Determine the derivative of each of the following. a) y = e-*sinx b) y = 2* + 3* c) f(x) = xcos2x…

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Q: B. Find the derivative of the following functions, then use the derivatives to find the equa of the…

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Q: 11. In y = e" sin x

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Q: Q1/ Find the derivative of the following functions: where x>0,x #1 a- y = x** x√√2x+1 b- y = exsin…

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Q: 2. Find the first derivative of the following expression: f(x) = (x2 + 1)sin a

A: take derivative  use the exponent rule

Q: 2. a) Find f (x) if the function is f(x) = + sinx cosx b) What is the value of the derivative at? c)…

A: Given, f(x)= 1/sin(x) + 1/cos(x)

Q: (c) Use fzero to find when the derivative of 5. S(x) = 9. cos(x) sin(x) is 0 in the interval (0,…

A: NOTE: As per the guidelines we are supposed to answer only one question because all parts or…

Q: Find the derivative of y= cos with respect to x. -1 The derivative of y= cos with respect to x is 1

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Q: Can you help me step by step?

A: Assume p=x^2*sin^9 xThen find derivative of p w.r.t. xUse product rule and chain rule for this.

Q: (x²+1)* Find the derivative with respect to x: y = In /1-x

A: The given function is: y=lnx2+151-x

Q: 5cos³ (x) Find the derivative of y + tan²(3x² – 4x) – csc(v2x – 1 )and express your sin(3–2x) answer…

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Q: (a) Find the second derivative of the function y = 2x² sin(x). (b) Find the derivative of the…

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Q: II. Find the derivative of the following functions. 3. f(x) = x² cos(4x³)

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Q: f(x) = e²x cos(x) e2

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Q: Find the derivative of the given function 1+ sin(3 f(x) = ( V + 1

A: To find the derivative of the given function  Use formula of  Derivative of u/v  = { u'v - u v' } /…

Q: e2x 2. Find the derivative of y = - (x² + 1)°(1 (1+ sin x)5

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