Find the equation of the tangent line when x = a on the function (x) = -5 cos(x)

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

Q: Find the derivative of the function. y = cos (sin-1 x)

A: Derivative

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Q: Find the derivative. Simplify where possible. y  = Cosh-1 √x

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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: sin

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Q: find the derivative using the appropriate rule or combination of rules.

A: Consider the given function

Q: find equation of tangent line to the graph of the given function at the indicated value of x

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Q: Calculate the derivative with respect to x of the other variable appearing in the equation. sin(x +…

A: The given equation is  sin(x+y)=x+cosy ...................................(1)  differntiate with…

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

A: Answer and explanation is given below...

Q: Find the slope of the tangent line to the curve y- x + 4=0 at the points (8, 2) and (8, -2) in two…

A: We will find out the required solution.

Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e". %3D Equation:

A: To find the equation of the tangent line to the graph of: y=f(x)=ln(-x) at x=x0=-e4 The equation of…

Q: Find derivative of function. y= sin square root of 1+x^2

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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: Determine the derivative of the function y=arcsin 2x / 1+x2 at x=2.

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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 derivative. Simplify where possible.

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Q: Find the first four derivative  if  y= cosx

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Q: 3. Use implicit differentiation to find an equation of the tangent line to the curve sin(x + y) = 2x…

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

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Q: Find the derivative of the trigonometric function.

A: To Determine: The derivative of y=sinπx

Q: Find the equation of the tangent line to the graph of f(x) = sin (- -) at the point x = 1. 6

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Q: if the derivative of x2sinx+2xcosx-sinx  is (Ax2+B)(cos(C(x/2))). FInd the value of A, B, and C.

A: Given: x2sinx+2xcosx-sinx Differentiate the equation.…

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

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Q: 4. Use implicit differentiation to find an equation for the tangent line to the graph of sin(x +y) =…

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Q: Find the derivative of the function. Simplify wherepossible.   y= Sin-1(2x + 1)

A: To find: Derivative of sin-1(2x+1)

Q: Find the slope of the tangent line to the curve x3 + y3 = 4xy at the point (2, 2). Use implicit…

A: According to question given that  We have to calculate the slope of the tangent line to the curve…

Q: Find the derivative. Simplify where possible. h(x)  =In(Cosh  x)

A: Given: h(x)=lncosh x To find: we have to find the derivative of h(x)

Q: 3. Use implicit differentiation to find an equation of the tangent line to the curve 2(x + y = 25(x…

A: Explanation of the answer is as follows

Q: find the derivative of this inverse hyperbolic function f(x) = cosx tanh-1(sinx)

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Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by 2xy9+xy =…

A: We have to find slope of tangent line using implicit differentiation of the curve 2xy9+xy=6 at the…

Q: cos X sin x + cosX

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Q: Find the derivative of the function. Simplify where possible. y   =arctan(cos θ)

A: Given:y=arc tancosθFormula:ddxtan-1u=11+u2.dudx

Q: Find the derivative of the function. Simplify where possible. y   = Cos-1(Sin-1t)

A: y=cos-1sin-1t

Q: The derivative of y=sin^{5}x

A: Differentiate using the chain rule dy/dx= dy/du * du/dx

Q: Find the derivative of y with respect to the appropriate variable. y = cosh12 x+ 5

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Q: y = In(sin x)

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

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Q: Find the derivative of y= sin cos (tan ax)

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Q: Va2-x² Y=Arc sin + a

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Q: Find the equation of the tangent line to the curve y = ln(4 ln x) at the point where x = e. %3D

A: It can be solved using differentiation.

Q: Find the second derivative, y" for the function cos(y) + sin(x) =1 by implicit differentiation. %3D

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Q: Find the equation of the tangent line to the curve given by f(x) = x2 ln x at the point  (1, 0)

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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: 5. Find the derivative of --( 1 + sin 0 cos 0

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Q: calculate the derivative y = cosh−1(3x)

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Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e'. =-e?. Equation:

A: As we know that the equation of the tangent line is: y-y1=mx-x1 Where 'm' is the slope. Given:…

Q: Find all points on the graph of the function f(x) =2 Sin x + Sin2 xat which the tangent line…

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Q: y = cos /sin(tan Tx) %3D

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

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Q: 1+ In ху 3D e*-У, (1, 1) ex-y, ||

A: Given : 1+lnxy = ex-y