gla) = 8 3 sin5a 11

Q: y = sec² 0 – tan² 0 %3D -

A: Using Trigonometry identity ,

Q: Find and simplify the second derivative of f(0) = cos(sin(30))

A:

Q: Write the equation of the tangent line to the graph exy + cos v = + COS at He %3D point (-0.3, 2.12)

A:

Q: Find an equation of the tangent line at the point indicated.                                  y =…

A: Given : The equation of the curve is y = sin x and point is π4 .

Q: Find the derivative of f (y) = 5 sin6 (yª).

A:

Q: Find the derivative of the trigonometric function.

A: To find the derivative of the trigonometric function.  y=csc1-2x2

Q: Find the slope of the tangent line to the sine function at the origin. Compare this value with the…

A: To find the equation of the tangent line, first, we need to find the slope of the tangent line. The…

Q: Find the equation of the tangent line to sin-(x - 2y) = 2xy – 1 %3D (1). at the point

A: Given,            The equation of the line is sin-1x-2y=2xy-1 and the point is 1,12.We know that,…

Q: Find the derivatives of the functions in Exercis

A: the given function is: q=cotsintt we have to find the derivative of the given function.

Q: Find an equation of the tangent line to the curve at the given point. y = sin(2x) + sin²(2x), (0, 0)

A:

Q: Find the points on the given curve where the tangent line is horizontal or vertical. r = 1- sin 0

A:

Q: 2 dx (1+x²)3/2

A:

Q: Find the slope of the tangent line to the sine function at the origin. Compare this value with the…

A:

Q: Find the derivative of the trigonometric function. y = 4 sin(3nx)

A: The given function is: y=4sin3πx   We know that; The Power law: ddxxn=nxn-1 The chain rule:…

Q: Find the equation of the tangent line to sin-1(x – 2y) = 2xy – 1 (+) 1, at the point

A: Given:- Sin-1(x-2y) = 2xy-1 To find :- Equation of tangent line at point (1, 1/2)

Q: Find an equation of the tangent line at the point specified.

A:

Q: find the second derivative and simplify the final result 4. y= 5/ (sin3x + cos3x)

A: y=5sin3x+cos3x Differentiating with respect to x, we get…

Q: 1. y = Arcsin(- x²+4'

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

Q: At any point (x,y) on a particular curve, the tangent line has a slope equal to 1+ sin (x 5) If the…

A: At any point (x,y) on a particular curve, the tangent line has a slope equalto 1+sinx-π2, the curve…

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A:

Q: Find the derivative of the 6. sin 80 (f) f(0) = %3D 1+ cos 80

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find the points on the curve where the tangent line is horizontal and vertical. r = 1 − sin θ

A: In the question it is asked to find the points of tangent line (horizontal and vertical) to the…

Q: At the given point, find the slope of the curve or the line that is tangent to the curve, as…

A: Use derivative

Q: find the derivative of f(x) = cos(sin(4x+7)^4). simplify

A:

Q: sin(32 + 2')| y = (6 – 2^)3

A: As we know that: The Power rule:ddxxn=nxn-1The chain rule:fgx'=f'gx·g'xThe Quotient…

Q: y = arcsin sin (4x²)

A: To find the derivative y=arcsin sin4x2

Q: В. f(x) = (sin ebx³ ). 3 |cot(26x) x4 -

A:

Q: a. y = 400(2)*+3 sin 3x

A: We have to find first derivative

Q: Find an equation of the tangent line to the curve at the given point. sin(sin(x)), (37, 0) y

A: The given expression is,

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

A:

Q: Find the derivative of the trigonometric function.   y = csc(1 − 2x)2

A: the given function is: y=csc1-2x2 we have to find the derivative of the given function.

Q: Find the equation of the tangent line for f(x)=sin-1(1/4x) at the point (2,pi/6).

A:

Q: Find the points on the curve where the tangent line is horizontal or vertical, r=1-sin⁡θ and sketch…

A:

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

A: y=sinx2

Q: Find the derivative of the trigonometric function. h( ) = 5 sec + tan

A: Given, hx=5sec x+tan x

Q: Find the derivative of the trigonometric function. y = 4 sec2 x

A:

Q: (B): Find the tangent equation to the curve y = sin² x at point x = x=373₁

A:

Q: 3. Find the equation of the tangent line to sin-(x - 2y) = 2ry- 1 at the point (1,

A:

Q: Find the derivative of the trigonometric function. f( ) = 1/4 sin22

A: The given trigonometric function is: fx=14sin22x To differentiate this function, apply the chain…

Q: Find the derivative of the trigonometric function. h(x) = sec 6x

A:

Q: Find an equation for the line tangent to the curve 2 sin(20) - cos(30), y- sin(40) + 3 cos 0 at 0 =…

A:

Q: Find the slope of the tangent line to the graph of r = 2-2 cos e when 0 %3D

A:

Q: Find all points on the graph of the function f( x) =2 sin x + sin 2xat which the tangent line is…

A: Given, fx=2sinx+sin2x The tangent line will be horizontal at a point if f'x is zero at that point.…

Q: Find the derivative of the trigonometric function. y = 5 cos(  x)2

A:

Q: Find the equation of the tangent line to the curve tan(x+y) + sec(x-y) = 2 at the point (pi/8 ,…

A:

Q: Find the equation of the line tangent to the graph of f at the indicated x value. y = 6 sin- 3x, x =…

A:

Q: 35. y = cot? (sin 0)

A: Solution:-

Q: Find the derivative. sint 1 du 16-u? 미행

A:

Q: (B): Find the tangent equation to the curve y = sin²x at point x =

A:

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

A:

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: