sin x + cos y = sin x cos y

Q: find the derivatives y=sin^3(x)+sin(x^3))

A: we have to find the derivative

Q: Compute the following derivative: 1 -3/x dx sin(x)

A:

Q: What is the derivative of f(x)= cos(e) ?

A: Given,

Q: Find the derivative of the following function. y = sec x + 2 cot x

A: See the details solution in below

Q: Find the second order derivatives of the following functions Ax) (i)cos°x (i) sin x 3

A: To find the second order derivatives of the following functions. (i). Given function fx=cos3x. Power…

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

A:

Q: Find the derivatives of the functions r = √(2θ sin θ)

A: Product rule of derivativef'u.v=v f'u+u.f'v or   u.v=u'v+v'uQuotient rule of…

Q: Determine the following derivative with respect to x: Y = cos(sin(cos x))

A:

Q: Compute the derivative cos(sin(e7))

A: cos(sin(e7)) We need to find the derivative of the given function.

Q: Find the derivative of the following function: 5. sin (cos(x))

A:

Q: Find the derivatives of the function defined as follows.

A: Differentiation of the given function can be done with the help of differentiation formulas.…

Q: Find the derivative of the trigonometric function.

A: Derivative of the sum of two functions f(x)+g(x) can be calculated as f'(x)+g'(x). Derivative of the…

Q: Find the second order derivatives of the following functions Ax) (i)cos³x (i)sin x 3.

A:

Q: Find the derivative of the trigonometric function.

A: Consider the given trigonometric function. fθ=θ+1cos θ   Product rule for differentiation.…

Q: y = sin(cos x)

A: Given:- y = sin(cosx)  To find:- Derivative of given function

Q: Compute the derivative d/dx of the following functions: y = 2 sec x − csc x x cos^2(4x)…

A: y = 2 sec x − csc xDifferentiate w.r.t.xdydx=ddx( 2 sec x − csc…

Q: Find the derivatives of the functions r = sin√2θ

A: According to the question, we have to find the derivative of the expression, r=sin2θ. The derivative…

Q: Find the derivatives of the functions r = sin (θ + √θ + 1)

A: r = sin (θ + √θ + 1) To find the derivatives of the functions. dr/dθ = ?

Q: 1 y = cos 6x

A:

Q: y = cot (c*) Arc cos (1-2x)²

A: Explained below

Q: Find the derivative of k(a)=sin^2a(cos^8a) k′(a)=

A:

Q: Find the derivatives of the following: 1. y = 10 sin x + 100 2. x(t) = 5 sin t + 3 cos t

A: (1) y=10sinx+100 Derivative of sinx  is cosx y=10 sinx +100y'=10cosx   (2) x(t)=5sint+3cost…

Q: Find the derivative of the following functions: y = In(sec x?) + tan-1(cosx) +4 tan x?

A:

Q: Find the 2021st derivative of the following function: y=cos(x) + sin(x) + e* A cos(x) + sin(x) +…

A: Definition used-                         dndxn(cosx)= cos(x+nπ2), dndxn(sinx)= sin(x+nπ2)…

Q: Find the derivatives of the function defined as follows.

A: Consider the given function y=cos xcos 4x   Apply the chain rule: ddxy=ddxcos xcos 4xy'=12cos xcos…

Q: Find the derivative cos x y = 2 sin x

A:

Q: Calculate the derivative of the following functions. y = cos4 u + sin4 u

A: We have to find the derivative of the function: y=cos4 u+sin4 u We know formula for derivative:…

Q: Find the derivatives of the functions

A:

Q: Find the derivatives of the following functions as specified: f(x) = sin(cos r), f"(x)

A: Given: f(x)=sin(cosx) We have to find the second derivative which we can find by the use of chain…

Q: Find the derivative of the trigonometric function. y = cos((?x)8)

A:

Q: Find the derivatives of the functions r = sin (θ2) cos (2θ)

A:

Q: Find the first derivative dy/dx of the following. Simplify. y = tan(x + y)

A:

Q: Find the derivative of the function. (0) = cos(0?) r(0) =

A:

Q: Find the derivatives of the functions

A:

Q: Find the requested higher-order derivative for the given function. d?y of y = 3 sin(x) + x² cos(x)…

A: Using Derivatives.

Q: What are the derivatives of sin g(t), cos g(t), and tan g(t)?

A: we have to find the derivatives of sin g(t), cos g(t), and tan g(t)

Q: Find the derivative of the following: 1. y = 14 tan x cos x + 10 csc x 2. g(x) = sin?x + cos²x + sec…

A:

Q: The derivative of y = e sin(x) sin2(x) can be written as y cos(x)g(x), Determine the value of g(x)…

A:

Q: Find the derivatives of the functions defined as follows :

A: Given, y=3 tan14x+4 cot(2x)-5 csc(x)+e-2x

Q: What is the fully simplified derivative for the following functions? a) f(x) = sin(x)cos(2x) b) b(x)…

A:

Q: y = sin x cos x:

A: Using standard trigonometric formula, given function can be converted into standard function

Q: sinh x 1+ cosh x

A:

Q: Find the first and second derivatives of the function. f (x) = In(cos x)

A: We will use the chain rule and quotient rule of differentiation to find the first derivative and the…

Q: Find the derivative of the function below.   r-sin (theta^9)cos(9*theta)   dr/dtheta=

A:

Q: Find the first and the second derivatives of the following function sin x y sin( xy) cosx

A: Chain Rule:- It is called the chain rule because the derivative of composites of function is used by…

Q: Find the following derivative: dx sin tdt O A. - sinx O B. sin x О с. 1 cos X O D. 3 cos X

A:

Q: Find the derivative of the following. y = 1/2 tan x sin (2x) + cos (2x)

A: Given function is y=12tanx sin2x+cos2x. Solution: Product rule of differentiation states that:…

Q: Find the derivatives of the following functions. h(x) = sin(θ) cos(θ).

A: Here, I have considered derivation based on θ and x both. So, We try to find both dh(x)/dθ and…

Q: find the derivative. y = cos−1 t−1 − sec−1 t

A:

Q: sin x y = 1 + cos x

A: