5. Calculate the second order derivatives and for the following: ay 3-

Q: s(t) = 5cos -t 4

A:

Q: find the indicated derivatives

A:

Q: Calculate the derivative indicated.

A: Our Aim is to calculate the derivative of the expression given below:-p=7eh-2 -(i) at h=4.

Q: Find the derivatives of the functions in Exercise y = (1 + t^2) cot-1 2t

A: The given function is y=1+t2cot-12t.

Q: Compute the first and second derivatives of (x+4)e^x. Give the intervals wherethe function isa)…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Find the derivatives of the following functions: 1. y = 2x3 + 6x 2. y = 7x* - 3x? 3. y = (3x +1)(2x…

A:

Q: Calculate the derivative of the following function. y=e5x(5x+6)4

A: see below the calculation

Q: Find the derivative of the following with respect to the given variable 1. 2x -6x + 15x - 18 2. 5y -…

A: Solution: The objective is to find the derivative of the given functions

Q: nd the fest and second derivatives of y= 14e"

A:

Q: Determine the derivative of the following functions. 1. у — (4х — 5) e 2. y = 3x a(5x²–3x+7)

A: 1.

Q: find the indicated derivatives. dz/dwif z = 1√w2 - 1

A: We need to find the derivative of the given z-function

Q: compute the derivatives indicated. f(x, y) = 3x²y – 6xyª, and ax2 ay2

A:

Q: compute the derivatives indicated. g(x, y, z) = x*y°z°, 8xxyz

A: The expression gx represents the partial derivative of g with respect to x. Subsequent sub-notations…

Q: Find the derivative of the following function. 4e 4x y = 5x-2 y'(x) =D %3D

A:

Q: find the indicated derivatives. ds/dt if s = t/2t + 1

A:

Q: Compute the derivative of the following: 3 +. 2.1x 5 g(x) =, 4.

A:

Q: Y = c 2.

A: The product rule of differentiation is given by the following expression:- ddx(uv)=udvdx+vdudx The…

Q: Evaluate the derivatives of the following functions.

A: fy=tan-12y2-4

Q: find the values of the derivatives

A: Given,r=24-θ Our aim is to find drdθat θ=0,

Q: find the indicated derivatives

A: y=4x3

Q: 8. Compute the derivative of the following equation. (1) y = (x +1)3(2x – 2)2 (ii) y2-4x² y+x=16

A:

Q: xtany + y'secx = = e3y e3y

A: The given equation is x. tany + y2. secx = e3y The function is given by f(x, y) = x. tany + y2. secx…

Q: QW) = ? + y3 3.

A:

Q: I. Find the derivatives of the following functions: 4. -3xy2 + 5x²y² = 2x² 5. x3 + y = 2x3 y³

A: (i). The given function is: -3xy2+5x2y2=2x2

Q: Calculate the derivative indicated.

A:

Q: Find the derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

A:

Q: If x=t^2 +1 and y= t^3, then the second derivative is * 3 (4t)

A:

Q: find the values of the derivatives.

A: Derivative of 24-x at x=0:

Q: = x³y² – 3x²y + 5x – 3y + 12

A:

Q: x3 + 3y2 – xy = 17cosy %3D

A:

Q: 3. find the second order derivative 어: Xt xy t y= 16 2 4.

A:

Q: find the derivative of h(t)=t^3(4t-2)

A: Note:Hi, the given function h(t) = t^3(4t–2) is not clearly specified. The equation can be…

Q: Compute the derivatives, where c is a constant.

A: Our Aim is to compute the derivative of the expression given below:-ddy9c2y3-24c-(i)

Q: Calculate the derivative of the following function. y = (3x-4x°+4)24 y%3D dy dx

A: Please see the below explanation:

Q: Find the derivatives of the functions s = ( 4t/t + 1)-2

A: Given function - s = 4tt+1-2s = t+14t2s = t4t+14t2s = 14+14t2s = 142+14t2+21414t…

Q: Find the derivative of the following functions: 1. y= (2x + 1)(4x – 1)? y = 2. V3x x3/244 x² y = 3.

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 2) Use a derivative sign chart to graph the following parameterized curve: dx -5(1-3X-7). dt…

A:

Q: Find the indicated derivative. dt for y(2.4t-3t)(2t+1.1)

A:

Q: Find the derivatives of the functions defined as follows. y=12tan(9x+1)

A: Given: y=12tan9x+1

Q: Calculate the derivatives of the following functions.(a) y= 4x2 + 4(b) y = sin 3x+ 4 cos 2x(c) y =3x…

A: We have to find derivative of the given function. (a). dydx=d4x2+4dx=8x   b.…

Q: find the indicated derivatives. dp/dq if p = q3/2

A: Given, p=q32

Q: Find the derivatives of the functions s = 2t3/2 + 3e2

A:

Q: Find the derivatives of the functions y = (1 + t2) cot-1 2t

A: We have to find the derivatives of the function: y=1+t2 cot-1 2t When two functions are in product…

Q: Calculate the derivative of the following functions. y = (1 + 2 tan u)4.5

A: The given equation is y=1 + 2 tan u4.5.

Q: Find (a) the derivative , y = dy 4 -32x

A:

Q: B. Find the indicated higher order derivatives *** (1+x)² 2. y"'if y = x2

A:

Q: Q1)If f=x+y find second derivatives of fcx, fxy?

A:

Q: 9. The derivative of the graph x+y² D5 with respect to time is c-2y+ 20 C. a. y +x d. -y 2x +2y

A: Q 9 Given that: The graph: x2+y2=25

Q: State the derivative of the following functions a) y = -x* 2. b) y = c) y = 2cos(x²)

A: Authoring guidelines:…

Q: Calculate the derivative of the following functions. y = (5x + 1)2/3

A: The given function is: y = (5x + 1)2/3 The chain rule is: ddxfgx=f'gx·g'x And, the derivative of xn…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: