Calculate the derivative with respect to x of the other variable appearing in the equation. exy = sin(y2)

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

A:

Q: y = Vx sin-1(x)

A:

Q: Find an equation of the tangent line at the point indicated. y = ln(sinx),      x = π /4

A: The equation of a tangent line can be calculated using the slope point form of the equation of line.…

Q: Find the derivative of the function. y = cos (sin-1 x)

A: Derivative

Q: Find an equation of the tangent line to y = 7 sin(x) at x =

A: Solution-  Equation of tangent is given by y = mx+ c ( where m is slope)    Given equation is  y = 7…

Q: Find the derivatives of x=sin h2y

A:

Q: Find the derivative of f (y) = 6 sin

A: To find: The derivative of fy=6·sin7y5. Formula used: Chain rule of derivative: fgx'=f'gx·g'x Power…

Q: Find the derivative of the function. y = sin-(6x + 1) y' =

A:

Q: Find the derivative of the function y = sin '(- (5x + 4)).

A: Given query is to find the derivative of the expression.

Q: calculate the derivative. y = sinh(x2)

A: we have to find the derivative  y = sinh(x2)

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: Calculate the derivative with respect to x of the other variable appearing in the equation. sin(x +…

A: The given equation is  sin(x+y)=x+cosy ...................................(1)  differntiate with…

Q: Find the derivative of y with respect to the given independent variable. y= 0 sin (log 50)

A: Given problem is, y=θsinlog5θ we have to  differentiate it with respect to θ.

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

A: Given : y = sintan3x

Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (2x, 0)

A: given function is                                                    y=sinsinx tangent at point 2π,…

Q: Find the derivatives of the functions y = ln (sin2 θ)

A: Given equation:

Q: Find the derivative of y with respect to x. y = 2x 4 sin -1 x

A:

Q: Find the fourth derivative of the given function. y = sinx

A: Given query is to find the fourth derivative.

Q: . Find the derivative with respect to x: y = tan¬(Vx² –- 1) + csc¯²(x),x > 1

A: Given thaty=arctanx2-1+arccscx To find its derivative

Q: Find the derivative of the function. y = sin-(9x + 1)

A:

Q: Find the derivative of the following: y=−x2⋅sinx

A:

Q: Find the derivative with respect to x: y = tan(Vx2 – 1) + csc-(x),x > 1

A:

Q: Find an equation of the tangent line to the curve at the given point. y = sin x + sin²x, (0,0)

A: We have to find the equation of tangent line to the given curve at the given point: y=sin x+sin2 x,…

Q: Find the derivative of the function. y = sin-(2x + 1) y' = %3D

A: We need to evaluate the derivative of the following function y = sin-12x+1 Formula Used : ddxsin-1x…

Q: y = (sin x) ³

A: Given function is  y = (sinx)y   this is explicit function of x and y.  So, first we will take…

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

A: Topic :- Calculus

Q: Find an equation of the tangent line to the curve at the point (0, 1) y = e2x + sin 3x

A: Here is the solution of the given problem.

Q: Find the derivative of the function.

A: The given function is y=x2-sin2x4

Q: Can you help me step by step with this problem?

A: Obtain the derivative of the given function as follows.

Q: Can you help me step by step?

A: Given an equation

Q: Find the derivative of the function r? In 4y y sin4

A:

Q: Find the derivative of y = cos 12 with respect to x. |

A: Given : y = cos-112x

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (sin x)

A:

Q: Find the derivative of y with respect to the given independent variable y= 0 sin (log 50)

A: Given that, y=θsinlog5θ

Q: y = x+1 y = sin v1+x?

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

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: Find the derivative of the function. y = sin-1(4x + 1) У'%3

A:

Q: Find the derivative of : y=x sin(x) %3D ?

A:

Q: Calculate the derivative of the following functions. y = sin2(e3x + 1)

A: Given functions y = sin2(e3x + 1) ddxsin2e3x+1=sin2ddxe3x+1=sin2ddxe3x+ddx1=sin2e3xddx3x+0=sin2e3x·…

Q: 3. y = sin¬(1+x²)

A:

Q: The 2nd derivative of the function x = Ci cosot + C2 sin ot with respect to t is

A: Given function is

Q: find the derivative of y with respect to the appropriatevariable. y = sin-1√2 t

A: To find the derivative of y=sin-12t

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

A:

Q: Find the derivative of the function. y = x sin 1(2x + 1)

A:

Q: Find the derivative of the function. y =sin(tan 2x )

A:

Q: Find the derivative of the function. y = sin(tan(8x)) y' = %| II

A:

Q: Find the derivative of the function. y = ln∣sin x∣

A:

Q: Calculate the derivative of the following function. y = sin (11t - 1)

A:

Q: Find the derivative of the function. y = x sin 1/x

A: Given: y=xsin1x We know that ddxu.v=vdudx+udvdx                                                  ..1