f'(x) = = Lº 1 + sec(7t) dr f(x) = sec (2) + 6 X Vì Hint: +== f*√²- 1 + sec (7t) dt = - √1+ sec(71) dt

Q: Differentiate. f(w) 1 + sec(w) 1 - sec(w)

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Q: 1 Find the derivative of f(x) = V7+4x2 - 5.x2 +9

A: we apply chain rule in the first part and division rule in the second part

Q: Consider the function f(x)=x^3-3x^2-9x+7 Find the values of x such that f'(x)=0

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Q: 2) Find the derivative of each function f(x) = Vx + 5x+6 %3D а) b) f (x) = 6x'(5x² +3x)10

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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: (S dx (f(+ 2t)° dt (2+3x)

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Q: (5) (sec-i x) =, d

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Q: Find f'(x) if f(x) = 1 (x+csda4+10))³

A: *concept:- cscx = 1/sinx. d/dx (sinx) = cosx. d/dx (x^{n}) = nx^{(n-1)}

Q: x and y intercept of the function

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Q: x + + 8)(6y – 1) = 0 find the second derivative %3D

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Q: If f(t) = 2 - 9t cos t find f'(0).

A: Given :ft=2-9tcost

Q: F(w)= tan^-1(3w^2) Find, F'(w)=

A: The given function is: F(w)=tan-13w2

Q: R(x)= 1 dt . 76 +4 Use FTC part II to find the derivative of the function

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Q: F=11+/2x+3, find F'(3) find F'(8)

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Q: F’(-4)=

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Q: √x √x + √√y = 1

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Q: Find f'exo if fex)= Find f'ex) if fcx)= (5x² + 1) cos(2x) 100 sec² (2x + 5) (x + 2)¹ 3

A: fx=5x2+1cos2x3sec22x+5x+2100

Q: Compute the second derivative with respect to x of 3x3 + 8 y = at x = 1.

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Q: 5) Differentiate f(x) = √3x² + 4x.

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Q: 2 x´ + 8)(6y – 1) = 0 find the third derivative

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Q: Finf the equation of the tangent line to (cos(x)ex10x)/(Sec2(5x)+1)+11 at the point (0,11)

A: Given,           The equation of the tangent line to (cos(x)ex10x)(sec2(5x)+1)+11  at the point…

Q: DERIVATIVE

A: We have to find the third derivative of  given function

Q: Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = cos(x) at x =…

A: Given function is y=cosx. We have to evaluate the first derivative of y=cosx at x=π4 using a value…

Q: Find the derivative: n[(x³ + 2) (x² + 3)]. Evaluate S dx. Зx8 — 2 2x*- x2 Evaluate dx.

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Q: rconh(3x+1) - 5t +ldt f(x)= sinh³

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Q: Differentiate f (x)  = eex

A: f(x)=eex

Q: What is the derivative of the ((sqrt of s) -1)/((sqrt of s) +1)

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Q: 6. Find the derivative of function. a) y = (x - 1)ā + 2x2-4x+7 b) y = cos* 3x * arcsin 3x2 |3D 3 c)…

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Q: F(x)=-4cosx-9tanx , f’(4pi/3)= ___

A: