Find f'(x) where f(x) sin(cos(4x2 +1))

Q: Find the derivative of f(x) = sin x²+ cos x if f'(2)

A: Given function is fx=sinx2+cosx. It is differentiated as follows by using the sum rule of…

Q: 2. y = (cosx)(sin5x)

A: We will use product rule of differentiation to find the first derivative of this function. We will…

Q: Find the derivative of f(x)=sin sin(5x

A:

Q: How do I verify d/dx(cos^-1(x))=-1/(sqrt(1-x^2)) using implicite differentiation?

A: Verify the result by implicit differentiation as follows.

Q: find the derivative  f(x)=cosx/1+sinx

A: The derivative of the function as follows.

Q: Use logarithmic differentiation to find the derivative of the function. y = (cos(4x))* y'(x) =…

A: In this question we have to find differentiation by using logarithm.

Q: compute the derivative y = sin(2x) cos2 x

A: Given y=sin(2x)cos2x The product rule of derivative is given by:

Q: Find the derivatives of the function f(x) from the first principle  sin2x

A: Answer and explanation is given below...

Q: Find the first derivative for y = 5 cos x

A: Given,          y=5cosx

Q: Find the derivatives of the functions in Exercis

A: Given function is: y=1x sin-5 x-x3 cos3 x We have to find dydx.

Q: Find the derivative of: 3 sin (– 3x). Hint: sin (x) = [sin(x)]"...so use the chain rule (twice!).

A:

Q: 2sin x -1 2. y = cosx+ 2

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Calculate the derivative of: cos-(8x) sin-(8x) f(x) f'(x) = 8|

A:

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

A:

Q: sin x (cos x+1) dx 7. S (cosx +1)2

A: Given that: ∫sinx(cosx+1)(cosx+1)2dx           NOTE: As per our answering guidelines, we can only…

Q: 4. If y = x cos x determine the 5th derivative. [y(5) = (60x – x³) sin x+ (15x² – 60) cos .x]

A: To find out the fifth derivative.

Q: compute the derivative. y = sin(2x) cos2 x

A: We can find the derivative of this function by using the product rule of differentiation . According…

Q: 6. y%= arcsin a Va2-x2

A: Given: 6. y=xa2-x2-arcsinxa

Q: Compute the higher derivative.

A: Given, d3dx3sin 2x

Q: Find the second derivative of f(x) * f(x) = cos² 7x

A: The given function is: fx=cos27x   As we know that; The Chain Rule: fgx'=f'gx·g'x The Product Rule:…

Q: Find the derivative f(x) = [sin(4* + x)][cos(x* + 4) %3D

A:

Q: Find the 139th derivative of y=cos x а. Cos x b. Sin x С. -Cos x d. -Sin x

A:

Q: Find the derivative of (sinx)2(sin-1x)2

A:

Q: The first derivative of y = sin( 4x + 3) is %3D а. - 4 cos(4x +3) b. 4 cos(4x +3) С. cos(4x+3) d. -…

A:

Q: Find first and 2nd derivative guncic 2 tan2x 3.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the derivative of x2cosx+2xsin x O 2xcos x O x² sin x + 2xcos x Ọ xzcosx y=x²sinx

A:

Q: Find a function with the given derivative whose graph passes through point P f'(x)= 2xx+1-cosx,…

A: To determine the antiderivative satisfying the given initial condition

Q: Find the derivative of the function. h(x) CoS x 6. %3D 1+ sin x sin x -61 coSX --6 cosx (1+ sin x)6…

A:

Q: Find the derivative 1. h(x) = cos3(tan2x) 2. h(x) = x5 sec(1/x)

A:

Q: sinx In (2) co cos x

A:

Q: Find the derivative of f(x)=(−x^3−6x^2−6x)sin(x).

A: See the attachment

Q: what is the first derivative of cosx^2(x^2+2)

A:

Q: find the first derivative of the function. F(x)= (1+sin2x/1-sin2x)^3

A:

Q: Find the 50th derivative of y = cos(3x)

A: Zeroth derivative y = cos(3x)First derivativey' = -3sin(3x)Second derivativey''=-9cos(3x)

Q: Find the derivative. y = In(x²)tan (3x) %3D

A: Given:

Q: Va2-x² Y=Arc sin + a

A:

Q: Find the derivative of y=x?sinx x?cosx +2xsin x 2xcos x x2 sin x+2xcos x x2cosx

A:

Q: Find the derivative of:-6 sin(- 2x*). Hint: sin (x) [sin(x))*...so .so use the chain rule (twice!).

A: We will find the derivative of the given function.Below find the solution in the image.

Q: f(x) = 3 sin 1 (x²)

A:

Q: Va2-x² Y=Arc sin- + а

A: Solution-

Q: 7) y=cos/2x+1

A:

Q: Find the derivative of: sin sin(2x) sin sin(x) + cos (2x) cos(x) ans: -sinx solution?

A: We will use the formula cosA*cosB+sinA*sinB= cos(A-B) , with A=2x and B=x and simplify.

Q: Solve for derivative. y = (x + cos x) ( 1 - sin x)

A: Given          y = (x + cos x) ( 1 - sin x)

Q: How would you find the derivative of sin (z^6) + sin^6 (z) using the chain rule?

A:

Q: Find the derivative  f(x) = cos-1(3x) sin-1(3x)

A: To differentiate the function with respect to x.

Q: 5-cos x 3) f(x) = 5+sinx foo

A:

Q: Find the domain of the second derivative of the equation (image)

A: Given: