Find the derivative of the trigonometric function. y(x)%3 cos cos v sin(cot TX)

Q: a) Find the derivative in its simplest form for the following function 1–tanx y = tan-1 ¹

A:

Q: cos r (sin x) os . Hint: logarithmic differentiation can Find the derivative of y help.

A: We have to find the derivative of given function.

Q: Find the derivative of the trigonometric function.

A:

Q: The derivative of the given function is cos x sin x

A:

Q: II. Find the derivative of the following: a-x 7. y Arcsin + Aresinx 8. y =

A: We have to calculate the derivative of the following...

Q: Find the derivative of y with respect to 0. y sech P. sech 1. 5. (Type an exact answer, using…

A:

Q: Find the derivative of the function. y = cot?(sin(0)) y' =

A:

Q: 1. Find the derivative of the following trigonometric functions a) y = x sin(x) + cos(x) b) y =…

A: Given the trigonometric function

Q: II Find the second derivative(y") of the following functions and simplify the final results. 1.…

A: Formulae used: ddxarcsinx=11-x2ddxxn=nxn-1ddxx=1 Quotient rule of differentiation: pq'=qp'-pq'q2…

Q: Find the derivative of the function. f(t) = 2t sin(?t)

A:

Q: Consider the derivative function 8³ –4/E k (x) = 3 sin æ + What is the general antiderivative of k?…

A:

Q: Find the derivative of the function. y = cot?(sin(8)) - 2 cot(sin (0)) [cos ec°(sin(0))]-co s(0) COs

A:

Q: 3. Find the derivative of the function, and do your best to simplify the result. [P372]| arcsin 3r…

A:

Q: e the chain rule to find and simplify the derivative of the function g(x) = cos(sin1(3x)).

A: Solution:- Differentiate with respect to x with the help of chain rule.

Q: compute the derivative

A:

Q: 18. a. y = 3 ln x – In (x + 1) b. y = In x +1

A: We need to find derivative of given functions and prove that they are equal.

Q: 2. Find the derivative of the following functions: 3 + cot x (d). g(x) 3 – cot x

A:

Q: 11. Consider the equation x + y +e# = e dy using implicit differentiation. dx (a) Find (b) Find the…

A:

Q: Find the derivative of the trigonometric function. g(t) = 9 (cos(πt))4

A: Given    g(t) = 9 (cos(πt))4 Differentiating with respect to t,g'(t) = ddt9 (cos(πt))4g'(t) =9 ddt…

Q: Find the derivative of the trigonometric function.

A: Given,          g(v)=cos vcsc v

Q: 1 5. Find y" of y= sin 3x

A:

Q: 3. 4ln(Arctan x) = 1- y

A: To find out the double derivative.

Q: V(x) = In(sin(x) – cot(x))

A: The chain rule of differentiation is dydx=dydu×dudx. The given function is Vx=lnsinx−cotx.

Q: Find the derivative of the trigonometric function.

A: To Find: The derivative of ht=2cot2π t+2

Q: e°+7x , + In(Vx y =

A: on doing differentiation with respect to x we get  dy/dx=e^(x^3+7x)d/dx(x^3+7x)+1/√x.d/dx(√x)…

Q: Find the derivative of: 6e 1* cos( – 7x). [Hint: use product rule and chain rule!] Use e^x for e".…

A: Given query is to find derivative and equation of the tangent.

Q: a. Use implicit differentiation to find dx dý b. Find the slope of the curve at the given point.

A: Given that siny=5x4-5. a. Differentiate both sides of the above equation with respect to x as…

Q: 31. y = sin x cos x

A:

Q: for the function y = dz -() The derivative dy for the function y= cotV3-2 dz The derivative

A:

Q: (a) Find the second derivative of the function y = 2x sin(x). (b) Find the derivative of the…

A:

Q: cos?t 1. Find the derivative of f(t) :

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the derivative of the trigonometric function. g(t) = 6 (sin(t))8 g'(t) =

A:

Q: sin x + cos y = sin x cos y

A:

Q: Find the derivative, , for y = (x² – V)3 Find the derivative,, for y = csc Find the first and second…

A: Derivative of the following

Q: y = csc³ CS x -

A:

Q: Find the derivative of the function. y = a6 + cos6 x y'(x) =

A: Given

Q: Find the derivative of the following functions. Show complete solutions, including trigonometrie…

A:

Q: (a) Find y' by solving the equation for y and differentiating directly (b) Find y' by implicit…

A:

Q: The derivative of hyperbolic for cosh x= e- e /2 True O Flase

A: Given: coshx=ex−ex2

Q: d Using the definition of derivative, show that: (10 sin(x)) = 10 cos(x) explain your steps clearly.…

A: We have to show   d dx10sin(x) =10cos(x) By definition of the derivative we know…

Q: Find the indicated derivative. Then find an equation of the tangent line at the indicated point on…

A:

Q: a. Use implicit differentiation to find the derivative b. Find the slope of the curve at the given…

A: The given curve is sin2y =x. We have to find dydx using implicit differentiation. For  implicit…

Q: Find the derivative of: 9e 3 cos(- 9x). [Hint: use product rule and chain rule!] Use e^x for e".…

A: Using product rule and chain rule of differentiation.

Q: 5) Find the derivative of h(0) = tan 50. d 6) Find dy (cot y).

A:

Q: Find the derivative of y=(e^2x)sin(5x)

A:

Q: Find the indicated derivative. Then find an equation of the tangent line at the indicated point on…

A: Please refer the attached image for complete solution.

Q: . Arcsin(x/y) = 4x + 3y

A: Solution :-

Q: d The derivative of the sine function is the cosine function: (sin x) dx = cos X

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: