Find the derivative of cos(xy^2) = -3y using implicit differentiation

Q: Compute the derivative using derivative rules. y = sin(x2) cos(x2)

A: Given: y=sinx2cosx2

Q: Compute the derivative of the function y = 5 sin-'(x) at the point x = (Use symbolic notation and…

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Q: Use logarithmic differentiation to find the derivative of the function. „sin(3x) y = x 3/ = %3D

A: Topic :- Derivative

Q: 1. (sec- dx using the implicit differentiation.

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Q: Find the derivative. Simplify where possible. hx) = (1 - cosh x) /( 1 + cosh x)

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Q: Find the derivatives of the functions in Exercis y = xe-x + ex3

A: y=xe-x+ex3

Q: y3D(i+sinx)(I-sinl)!

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Q: Find y’ if y=cos(ln(x^2 +1)) y’(0)= Use implicit differentiation to find the equation of the tangent…

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Q: The curve given by y2+y=x3-x is called and "elliptic curve" Using implicit differentiation, find the…

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Q: Compute the derivative. (x) = ex sinx

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

Q: Find the derivative of f(x) = tan³(sinx) + +

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Q: Compute the derivative using derivative rules that have been introduced so far y = √(9 +x + sinx)

A: We have to compute derivative of the function: y=9+x+sin x We know the formula of derivatives,…

Q: Find the derivative of each function by using an appropriate differentiation rule. 1) F(x)= sin(3…

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Q: Find the derivative using logarithmic differentiation if sin^-1 (2x). y = (tan x) where 0 < x < 1/2…

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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!).

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Q: 2. Use logarithmic differentiation to find first derivative of y (sinx)r

A: Formula used: ddx[u(x)v(x)]= u(x)v(x).ddx[ln(u(x)).v(x)] ddx(u.v) =dudx.v + udvdx

Q: What is the anti derivative of  f(x)= 2sin(x)-sec2(x)

A: Given information

Q: Xyz. %3D Use implicit differentiation to find az/ar

A: The given function is ez=xyz.

Q: Find the derivative of y = tan 3x

A: Given function is: y = tan 3x We have to find the derivative of y with respect to x.

Q: Find the derivative of the trigonometric function.

A: To Determine: The derivative of y=sinπx

Q: Please help. *Find the slope of the tangent line to the given curve below at (5,3). y² - 2x + 5=0.…

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Q: Find the derivative of the function f(x) = arctan ex

A: According to the question, we have to find the derivative of the function fx=arctan ex. The…

Q: Use logarithmic differentiation to find the derivative of the function. y = (sin 3x)In x sin()…

A: Formula used:If (x) and g(x) are two differentiable functions, then following rules  are efined as;

Q: Find the derivative using the product rule. y = eX In x

A: y=exlnx

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

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Q: Compute the derivative using derivative rules. y = (cos 6x + sinx 2)1/2

A: y=(cos 6x+sinx2)12

Q: q? sin-! メ

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Q: sinx (b) у %3D V1+cosx

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Q: Compute the derivative using derivative rules. y = cos(te- 2t)

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Q: Compute the derivative. Use logarithmic differentiation where appropriate. 3)X d. 1+- dx 1+ dx

A: Differentiation is given below

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…

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Q: Calculate the derivative using implicit differentiation: x³w + w® + wz² + 4yz = 0 dz az

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Q: Find the anti-derivative of

A: Answer and explanation is given below

Q: FIND THE FIRST DERIVATIVE OF THE FUNCTION cos r. y = cosx О а. SIN3X O b. - COS3X О с. COS3X O d.…

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Q: cos X sin x + cosX

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Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A: Applying natural logarithm on both sides, we get

Q: 1-sinx f(x) = V1+sin x

A: Since, you have asked multiple question , as per the company guidelines we will solve the first…

Q: Compute the derivative of the function y = 6 cos- (4x) at the point x = (Use symbolic notation and…

A: Solution ) y = 6 cos-14x Differentiate with respect to x  y' = 6 d/dx (cos-14x) [ we know that  d/dx…

Q: Find the derivative of the following functions and simply it whenever possible. 8. y = ln…

A: First simplify the given function then use chain rule of derivative.

Q: Use implicit differentiation to find the specified derivative at the given point. Find ду at the…

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Q: ex + siny = cos(x³y²) %3D

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Q: Find the derivative of the function y = sin^-1 x/sqrt 1 + x^2 – tan^-1 x. %3D

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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: Find the derivative of y = sinx / (1+cosx).

A: Topic  =Derivative

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: Find the slope of the tangent line to the curve y-x+5 0 at the points (6, 1) and (6,-1) in two ways:…

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Q: y = a Cos- -1(1-2) + v2ах - х + V2ах — х2

A: Explanation of the answer is as follows

Q: second order derivative of (5 sin 3x+cos^2 (3x )) is *

A: The function: y=5 sin3x+cos23x

Q: Find the fifth derivative using product rule y = sin3xcos4x Where r is the last digit of your…

A: The fifth derivative of the given function can be found by differentiating the given function five…

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

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Q: Use implicit differentiation by partial derivative to solve for dx of function 3x2 + 2xy = -4y3. %3D

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Q: Find the derivative to by implicit differentiation Sinx +4 cos y=3

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Q: 33. Зе - х%3D 0, (3,0)

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