V(1) (1) 20 10 + 0 -10 -2t 1 N 3 4 v(1) 5 10 7 t(s)

Q: x + x dx x2

A:

Q: 11) find the derivative of the function.

A:

Q: п-(х-4)" 22и. (2n — 1) Ax) =En=0 n:

A: Solution of given problem as follow

Q: Compute the derivative of the function f(r) = cos(x) by the difference quotient definition.

A: The given function is fx=cosx.

Q: Find the derivative of the function. (a) g(x) - log,(8x - 9x²) - (x),6 (b)

A:

Q: decide the derivative of asin(bx),step by step.

A: Given function

Q: f(x) = 8 f(x) — тх + b f(x) 3 54 + 20х

A: We have to find derivative

Q: Find the nth order derivative of the function y=sin2x.

A:

Q: Let f(x) = r - 3z2 - 1. Calculate the derivative

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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: Find the first and second derivatives of the functions

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: f (x) = cos-(sin(x² + 3х))

A:

Q: sin 0 r (0) = log„(ršin ® – sin" 0)

A: We know that, from the derivative formulas ddxax=axloga       ⋯⋯1ddxlogx=1x…

Q: 1+ cos x y = In 1-cos x

A: This question is based on chain rule differentiation.

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

A:

Q: Find the nth order derivative of the power function y=xm where m is a real number.

A:

Q: S:R R, f(x) =a", (a > 0, + 1)

A:

Q: E(k) = h2k2 2maz 1 - a2 272 k2

A: solution  d2Edk2=h2ma2{1-3a2k2π2}

Q: Find the derivative using the definition 1- y = vx -1

A: