sec'x dx = tan x], = 0

Q: Calculate the derivative with respect to x of the other variable appearing in the equation. exy =…

A: Given, exy=siny2

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

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

Q: what is the derivative of sin(e^x)

A: To find what is the derivative of sin(ex)?

Q: Find the derivative with respect to 0: y = In(sec 0 + tan 0)

A: Here we have to find the derivative of             y=ln(secθ+tanθ) To find the derivative here we…

Q: Find the coordinates of the point on the graph of y = 8 sin x+4 cos (2x) + 14, 0 <x<5, where the…

A: Consider the given function, y=8sinx+4cos2x+14 The slope of the tangent line on the given curve will…

Q: f(x) = e2 sin¯+(3x) + In (cosh-1(e³x))

A:

Q: Differentiate with respect to the independent variable: f(x)= sin(9 ln(x) )

A:

Q: What is the derivative of: y = arcsin(cos x2)

A: Our Aim is to calculate the derivative of y=sin-1cos x2-(i)

Q: Find the Derivative  y = sin(tan(7x))

A: Given:

Q: Find the derivative of cos-¹(sin x)

A:

Q: Find the derivative of the function r=sin(θ3)cos(3θ) dr/dθ=?

A:

Q: 1. y = Arcsin(- x²+4'

A: Given: y=arcsinxx2+4 Differentiate the equation with respect to x.…

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

A:

Q: Solve for the derivative Arc sin + Arc cos =0 y y

A:

Q: dy Prove that the derivative of y = sec x is = sec x tan x by using the derivatives of sin x and/or…

A:

Q: What is the derivative of ln(sin x + cos x)

A: Consider the given function:

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

A: Topic :- Calculus

Q: Find the derivatives of the functions in Exercis

A: fθ=sinθ1+cosθ2

Q: Which is the derivative (dy/dx) of y=sin-1 tanx?

A: Formula used   (fog)'(x) = f'(g(x))*g'(x)

Q: Find the derivative dy dx of the function y = sec +√4+ sin (4+x²) + x²)).

A:

Q: Find the derivative: f(x) = (6 sin a + 3 cos )tan f'(x) =

A: Given function is fx=6sinx+3cosxtan−1x To find the derivative of the function.

Q: Find the first derivative Complete Solution.  1.) t=sinθtanθ

A:

Q: Find the derivative of f(θ)=(sinθ/1+cosθ)^2

A: differentiate wrt theta

Q: y = arcsin sin (4x²)

A: To find the derivative y=arcsin sin4x2

Q: What is the derivative of 0.50 sin 2t+0.30 cos t

A:

Q: find the first derivative: y=tan (x sin x)

A:

Q: Find the derivative of sin 0 f(e) = 1+cose 1 + cos O 2)

A:

Q: Find dy/dx by implicit differentiation for tan-(r²y) = sin(²) + 3xy

A:

Q: tan (2x) 3. y = sin (5x–1)

A:

Q: How can you use the derivatives

A: ddxsinx=cosx, ddxtanx=sec2x, and ddxsecx=secx tanx

Q: Find dyldx by implicit differentiation. 9 + x = sin(xy²) dyldx =

A: The objective is to find the derivative by implicit differentiation.

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

A: Derivatives

Q: Use sin 0 = 0, sin = 1, and sin t = 0 to estimate sinl E) (Round your answer to three decimal…

A:

Q: How can you use the derivativesd/dx(sin x) = cos x,d/dx(tan x) = sec2 x, andd/dx(sec x)= sec x tan x…

A: Given, The derivatives are, ddx(sinx)= cosxddx(tanx)= sec2xddx(secx)= secxtanx

Q: Explain graphically why there is no solution to cosh x = sinh x

A: cosh x = sinh x. We need to explain graphically why there is no solution to the given equation.

Q: y = In(sin x)

A:

Q: find integral sin 5 dx

A: Given integral can be written as

Q: Find the second derivative y=lnx + 3 sin(4x) d²y dx² of

A:

Q: Find the derivative with respect to 0: y = In(sece + tan 0)

A:

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

A:

Q: by implicit differentiation. 8. Find dx sin(xy) = 1+ cosy,

A:

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

A:

Q: Va2-x² Y=Arc sin- + а

A: Solution-

Q: Show that ∫∞−∞ sin x dx diverges.

A: To Show: ∫-∞∞sinxdx diverges.

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

A:

Q: Explain how to find ∫ tan15 x dx without actually integrating.

A: ∫tan15x dx=∫tan13x tan2x dx=∫tan13x sec2x-1 dx   ∵sec2x-tan2x=1=∫tan13x sec2x-tan13x dx=∫tan13x…

Q: What is the derivative of y tan-1 cos 4x ?

A: By see this solution below

Q: Find the derivative of the function. y = cos sin(tan(9x))

A: The function is given by y = cossintan9x

Q: Can you help me step by step?

A: Given function,

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

A: Topic = Derivative

Q: y = sin(3x²) cos(3x²)

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.