Estimate the indicated derivative by any method. (Round your answer to three decimal places.) y = 2 x2; estimate dy dx x = -3

Q: Find the derivative of the function. y = 3 cot nx

A:

Q: Find the derivative of the function y = sinh−1(4x)

A: To find the derivative we use the chain rule

Q: Find the equation of y, given the derivative and the indicated point on the curve. y = dy - 2(x - 1)…

A:

Q: Find the derivative of the given function. y = V3x dy dx

A: Given: y=3x4 To find: dydx

Q: Find the indicated derivative and simplify. dy for y = 36x dx (x8+ 15) 6. dy -口 dx

A: We have to find derivative

Q: Find the equation of y, given the derivative and the indicated point on the curve. dy = 2x - 1 dx y…

A:

Q: Evaluate the derivative of the following function at the given point. xy? + 5x? – 2y? – 16 = 0, (-…

A:

Q: Find the derivative of the function w(s) = 10eVs.

A: To find the derivative of the below function. ws=10es

Q: Find the equation of y, given the derivative and the Indicated point on the curve. dy dx y = = 2x -…

A:

Q: find the indicated derivative. dy/dx if y = 1

A: y=1

Q: Find the derivative of the given function. y= 2x- 13x +35x +5 dy 口 dx %3D

A:

Q: Find the indicated derivative dy/dx 2.)  y=cos(x−y)

A:

Q: Use the definition if the derivative to find dy/dx for the function y=1+×/3x

A: To determine the derivative of given function by using the definition.

Q: Find the derivative of the following function. y = 4 sec x+3 csc x dy dx ||

A:

Q: Find the derivative of the function. F(t) = est sin(2t)

A: Use the chain rule of derivative and simplify.

Q: Find the derivative of the function. h'(t) = h(t) 2 sinh(−4t)

A:

Q: Find the derivative of the following function. y = sec 20-3 dy d0

A: We have: y = sec2θ - 3 We need to calculate dy/dθ Applying linearity rule: dy/dθ = d(sec2θ)/dθ +…

Q: Find the derivative of y with respect to t. y= sin(6t)

A:

Q: find the indicated derivative. dy/dx if y = x-4

A: The derivative of a function of the form  y=fx is a measure of rate at which the value y  changes…

Q: Find the derivative of the function y = 7-9x. dy dx

A:

Q: Find the derivative of the function. 1 6 y = 4x +8x dy %3D dx

A:

Q: Calculate the derivative. d (17t5 – 19t3) dt dx

A:

Q: Find the derivative of y = 33-22 dy de 画

A:

Q: Find the derivative of the following function. -3 y = (3x* + 4)* dy dx

A: Given a function  y=-3(3x4+4)5 To find the derivative dydx of the function.

Q: Evaluate the derivative at the given value of x. 4) If y = 'y =- Vx, find dy dx 4

A:

Q: Find the derivative of the function. 1 y = 4/x +3x dy dx |00 %3D

A: Use formulas of derivatives to find dy/dx

Q: Find the indicated derivative. dy for y = x dx

A:

Q: Calculate the derivative of the following functions

A:

Q: Calculate the derivative of the following function. y (3x-14) dy xp %3D

A: We have to find derivative

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 derivative of the given function. y= 6x (7-6x)6 dy dx

A:

Q: Calculate the derivative of the following function. y = (3x+ 4) dx

A: y = (3x+4)3  we use chain rule to solve the problem

Q: Find the derivative of the function. F(t) = 5t sin(mt)

A: To find the derivative of the given function f(t) we use product rule for derivative, Since f(t) is…

Q: Find the indicated derivative. y = x1.5 / 3 - x0.3 / 2     ; dy/dx

A: Given Data The equation is y=(x1.5/3)-(x0.3/2).     Differentiate the given equation…

Q: Find the derivative of the given function. y= 5x (1-3x)5 dy dx

A:

Q: x-1 dy 6. y = ( ). \x+1 dx

A:

Q: Find the indicated derivative of the function. d³y for y = 3x sin x

A:

Q: Calculate the derivative of the following: y = Vx + 4

A:

Q: Find the derivative of the given function. y 259x y' =0 %3D

A:

Q: Calculate the derivative of the following function. 3. 9X y3D 4x+1 dy dx

A:

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

A:

Q: Calculate the derivative of the following function. y = (7x-8) dy dx

A:

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: Evaluate the derivative of the function at the given point. 1 t = 3 8t + 1 y =

A:

Q: y" a ||

A: This is the problem of Autonomous Differential equations.

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

A: Given:  y = sec (3x + 1)

Q: Find the derivative of the following function. y=5.3-2 dy dx

A: We can find the derivative of the given function as below

Q: Find the derivative of y with respect to T. Y=t( ln 10t)^2

A: Use the derivative of the form f = uv