Find dx by implicit differentiation. Then find the slope of the graph at 3x³y = 6, point (1, 2)

Q: Find the derivative of the function

A:

Q: Find the derivative of the function. y = (tan-(3x))2 y' =

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

Q: Use logarithmic differentiation to find the derivative of the function. „sin(3x) y = x 3/ = %3D

A: Topic :- Derivative

Q: Find the derivative of the function.

A:

Q: 2. y = (cosx)(sin5x)

A: We will use product rule of differentiation to find the first derivative of this function. We will…

Q: 1. (sec- dx using the implicit differentiation.

A:

Q: Find the second derivative of y=(tan(2pix))^3

A: ---------------------------------------------------------------------

Q: Compute the derivative. y = sin (4 / θ )

A: The chain rule of differentiation is used to find the derivative of a composite function and given…

Q: Find the 50th derivative of y = cos 2x

A:

Q: Find the derivative of the function. 12) y = 2 secó x

A:

Q: Find the derivative. y = 7x² – sinhx %3D

A:

Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

A:

Q: Find the derivative of the function. y = sin(tan 7x)

A: To solve this type of questions we use chain rule. df(g(x)) dx= f'(g(x)) g'(x)in given ques. f(x)…

Q: Find the first derivative y = (cosx)(sin5x)

A: Answer and explanation is given below

Q: Find the derivative of the function. y = sin(tan(3x))

A: Given : y = sintan3x

Q: Use logarithmic differentiation to find the derivative dy/dx if ( 3 square root of x )^y = (3 square…

A: Use logarithmic differentiation to find the derivative dy/dx if ( 3 square root of x )^y = (3 square…

Q: Suppose that x and y are related by the equation 2x-y 2 and use implicit differentiation to…

A:

Q: Find the derivative of the function. y = −6 sin 3x4

A:

Q: Use implicit differentiation to find the specified derivative at the given point. dy Find at the…

A:

Q: find the derivative pattern y=sin(x)

A: To find the derivative pattern y=sin(x)

Q: Find the derivative of the function. y = tan(4x2 + 3)

A: The given function is y=tan4x2 + 3

Q: Find the derivative y = cosh(2x)

A:

Q: Find the first derivative of the function:  y=x² arcsin x

A: We have to find the first derivative of the function: y=x2 sin-1 x Here two function are in product…

Q: Find the derivative of the function. y = 2 tan 5x

A: To find the derivative of: y=2tan5x Solution: y=2tan5x Differentiating both sides w.r.t x we get:…

Q: Find the derivative of the function. y = -4 sin 7x

A:

Q: Find the derivative of the function. f(x) = arcsin(8x) + arccos(8x)

A:

Q: Find the derivative of the function. 2 + arcsin 5 () y = xV 36 - x² y' =

A:

Q: Use implicit differentiation to find an equation of the tangent line to the graph of the equation at…

A: The given equation of the curve is: x2+x tan-1y=y-1

Q: Find the derivative Y = 2e* arcsin x² Y = arccos (6x°-2x)

A:

Q: Find the derivative of the inverse hyperbolic sine function y=arcsinh x.

A: Let the given function

Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: Find the derivative of the equation. = sin „sin ( x) y' :

A: Derivatives

Q: Find the derivative of the function. y = (tan-(4x))2 y' =

A:

Q: Find the derivative of the function. Simplify where possible. y   =arctan(cos θ)

A: Given:y=arc tancosθFormula:ddxtan-1u=11+u2.dudx

Q: y = In(sin x)

A:

Q: Find the derivative of the sine function y=sinx.

A: We have to find derivative of sine function: y=sin x Finding derivative by first principle of…

Q: Use logarithmic differentiation to find the derivative of the function. y - (cos(4x))"

A:

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 1. y = Arcsin(- Vx²+4

A:

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the givn point  3x3y=6,…

A:

Q: Find by implicit differentiation dx

A: The question is taken from the calculus in which we have to find the differentiation of the given…

Q: find the derivative of y=sin2(3x).

A:

Q: Find the derivative of the function. f(x) = arcsin(7x) + arccos(7x)

A: As per bartleby guidelines if more than one question is asked, only one question is to be solved.…

Q: Use implicit differentiation to find at the point (-2, 3) on the curve dx x³ + y³ = 19.

A: Given the curve  x3+y3=19. We have to find d2ydx2 at the point (-2, 3) using implicit…

Q: Tr - 2VT + V3 (2x2 – x) (3x – 2) Find Dz -

A:

Q: Find the indicated derivative by finding the first few derivatives and recognizing the pattern that…

A:

Q: Find by implicit differentiation. Then find the slope of the graph at the given point. dx 3x3y = 6,…

A: To find dy/dx by implicit differentiation and the slope of the graph at the point (1,2)

Q: Find the derivative of the function. y = sin(tan 8x) %3D

A:

Q: The first derivative of y = tan-1 /2x

A: derivative

Q: 33. Зе - х%3D 0, (3,0)

A: