Use implicit differentiation to find de tan (rn³) = |

Q: Use implicit differentiation to determine the derivative of: tan² (xy² + y) = 2x.

A:

Q: Find the derivative of f (y) = 6 sin

A: To find: The derivative of fy=6·sin7y5. Formula used: Chain rule of derivative: fgx'=f'gx·g'x Power…

Q: Use Implicit Differentiation, to compute (cos¬'(x)), to compute dx the derivative of sinh(t),

A:

Q: Use implicit differentiation to find d2y/d2x y2=ex2+14x.

A: Given, function is

Q: By using first principle of differentiation find f'(y), if ƒ(y) = Му—N

A: Given: f(y)= My-N According to the first principle of differentiation, the derivative of a function…

Q: Find the implicit differentiation by using Total Derivatives a function, x³ cos(2y) – 3x4 + 2e³y

A: Given problem:- Find the implicit differentiation by using Total Derivatives a function,   x3…

Q: find the equation of the tangent lines using implicit differentiation 2xy+x^2=3 at (-1,1) and…

A: Given: Equation of the curve,       To determine: Equation of the tangent line at (i) (-1, 1) (ii)…

Q: eリ- + 2y eTy x° +

A:

Q: Use the rules of differentiation to find the derivative of the function. y = 3x + 6 sin x %3D y' =

A: Using differentiation rule,

Q: Use implicit differentiation to prove that la"] = d nxn-1 dx

A: ddx(xn)=nxn-1

Q: Use the rules of differentiation to find the derivative of the function. 2 h(x) 16 sec x h'(x) = %3D

A:

Q: 3xVy + бу 3D 12; (2,1)

A: Using the principles of surds, we can find the solution to given problem as follows:

Q: Use the rules of differentiation to find the derivative of the function. y = - cos(0) 8 y' =

A:

Q: Calculate the derivative.

A:

Q: Use the rules of differentiation to find the derivative of the function.

A: Given: y=π2sin θ

Q: Find the derivative of f(x) = (sin a)" %3D

A:

Q: Use implicit differentiation to find y' for 4x'y? + In(xy³) =

A: Implicit function is the function present in the form of f(y,x) = 0

Q: Use the rules of differentiation to find the derivative of the function. у 3 cos(0) - 6 y' =

A: We can move out the constant out of the derivative

Q: Compute the derivative with respect to x using differentiation rules.  f(x) = eax cos(bx) for…

A:

Q: sinx (b) у %3D V1+cosx

A:

Q: Find the derivative of the function by using the chain rule. sinx (a) h(x) = tan(x³ sinx) (b) y= %3D…

A: To find the derivative of the given function using the chain rule, which is:…

Q: Use implicit differentiation to find , if x2 – 3e = –2xy². dy dx'

A: To find: The implicit derivative of . Formula used: Power rule of derivative: Chain rule of…

Q: Use the rules of differentiation to find the derivative of the function. h(x) = 4Vx + 3Vx %3D h'(x)…

A: Given function is hx=4x+3x3. Solution: Power rule of differentiation states that: ddxxn=nxn-1 Sum…

Q: Use implicit differentiation to find the equation of the tangent line at the point (, 1). tan(xy) =…

A:

Q: tan (2x) 3. y = sin (5x–1)

A:

Q: Find the derivative of Vry = -3+x*y° using implicit differentiation.

A:

Q: Find the derivative of f(x) = v3x + 1 using the general formula for differentiation.

A:

Q: Use implicit differentiation to find x³y = x + y* – 4 dx

A:

Q: (a) h(x) = tan(r'sinx

A:

Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

Q: Use implicit differentiation to find dx 3x²y+8xy? = =D3 dy

A: Given that: 3x2y+8xy2=3

Q: Find the derivative of f(x) = x cos x using the product rule.

A: The given function is fx=xcosx.

Q: 5. f(x)%3D + cos X

A:

Q: Use implicit differentiation to find the specific derivative  a⁴-t⁴=6at²;da divided by dt

A: We have to use implicit differentiation in the following to find dadt. a⁴-t⁴=6at²

Q: 4х — бу? %3D ху?

A: Find y' by implicit differentiation.

Q: y= /sin(x)+1

A: Here we have a function to find its derivative.

Q: By using first principle of differentiation find f'(y), if fo) = My-N %3D

A:

Q: Use implicit differentiation to find the equation of the tangent line to the curve e^y sin(x)+x−xy=π…

A: We have to find the equation of tangent

Q: Find -by implicit differentiation. dx 6xe + ye" =7 ت ب تھج( + ex

A:

Q: Use logarithmic differentiation to find the derivative of y. y= cos X-3x + %3D

A: We can find the derivative using logarithmic differentiation as below.

Q: Use implicit differentiation to find the specified derivative a⁴-t⁴=6a²t find da ÷dt

A: We have to find dadt using implicit differentiation for the given equation: a4-t4=6a2t Here both a…

Q: Use the rules of differentiation to find the derivative of the function.                        y =…

A: Given:  y=x2-12 cos x…

Q: Find by implicit differentiation dx

A: The question is taken from the calculus in which we have to find the differentiation of the given…

Q: Use implicit differentiation to find at the point (-2, 3) on the curve dx x³ + y³ = 19.

A: Given the curve  x3+y3=19. We have to find d2ydx2 at the point (-2, 3) using implicit…

Q: Differentiate the given by implicit differentiation x3 - xy + y3 =1

A:

Q: Find the derivative of x + y = 10 using implicit differentiation. %3D

A: We have to find the derivative of x2+y2=10 using implicit differentiation.

Q: Find the derivative of F(x) = tan (5x + 7), by first principle of differentiation

A:

Q: y = /sin(x) +1

A:

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

A: