Compute the Derivative sec(4x)

Q: 1. f(t) = cos*t – sin*t 5. f(x) = tan 2x 1-cot 2x 2. y= sec20 – tan²0 3. f(x) = sin(cos x) %3D 3 4.…

A: Here we have to find derivative of given questions.

Q: Use 5-point centered difference methods to derive algebraic formulae of the first-order derivative…

A: The numerical approximation methods involve Taylor's series expansion of a function as follows: Let…

Q: 3) у %3D 2u* + 1 x = 5u? – 5u -

A:

Q: (d) f(x)= arccot(VT)

A: Given F(x) = arccot(√x) and we find the derivative of this. We know that this function F(x) is a…

Q: Find the derivatives of the functions in Exercis

A: Given function is: y=1x sin-5 x-x3 cos3 x We have to find dydx.

Q: 9x= (Jx+ x) (+xt) %3D

A: Given  g(x)=x+x2x3+x+2 To take derivative of g(x), we apply product rule (uv)'=u'v+v'u…

Q: Compute the derivative using derivative rules.

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Q: Find the derivatives of the functions in Exercis

A: we have to find the derivative of the given function. g(t)=1+sin3t3-2t-1

Q: Compute the derivative.

A: Here, we use product rule of differentiation to find derivative of given function.

Q: compute the derivative

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Q: Find the first and second derivative if w = 3z-2-(1/z)

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Q: Зx+1 5. f(x) %3D 3x2+2

A: f(x)=3x+13x2+2Differentiate…

Q: g(t) = V(1 – 3t)4 + t4

A:

Q: 23. g(x) = √√√9 — x Answer g'(x) = 1 2√9-x 9 (-∞, 9], (-∞, 9)

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Q: \Prove the derivative for: (x+6)2(x-2)² (x+3)2(x-1) 7x+34x² +23x²-244x+12 6x+6³x(x²+6x+9) (x-11²…

A: Given: fx=x+612x-22x+332x-1To prove:…

Q: dz i. y = e? sin x + In x (arcsin z) with = 4 dx

A: It is given that,  Therefore now take the derivative of the given function. So,