In Exercises 43-46, verify by differentiation. fa+ 13°dt =6 + 13 * |a + 13)° dx (x + 13) +c 43.

Q: Differentiate using implicit differentiation 3 2 4.3 r-2/0 =0 +04 03 +-04 2 3

A:

Q: Use implicit differentiation to find the tangent line (in slope intercept form) to the ellipse 4x2 +…

A: Equation of tangent line at a point {say x0, y0} is y-y0=mx-xo   ....1 Where 'm' is slope and 'm'…

Q: In Exercises 45–74, compute the derivative using derivative rules that have been introduced so far.

A: y=sinx2cosx2

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 8x cos (u²) du. cos(x)

A: Use part I of the fundamental theorem of calculus to find the derivative.

Q: If a, b, and c are the sides of a triangle and A, B, and C are the opposite angles, find: (image) By…

A:

Q: Can you help with this question step by step please

A:

Q: In Exercises 13–24, compute the derivative using derivative rules that have been introduced so far.

A:

Q: write an equation for the tangent line. xy= -100,- (10,-10) %3D

A:

Q: Use implicit differentiation to find and %3D 2y %3D

A:

Q: In Exercises 33–46, find the derivative.

A: According to the question,we have to find the derivative of y=arctan x3 or it can be written as…

Q: In Exercises 39-42, calculate the higher derivative.

A: Consider the following equation: y=tanx                                 ...... 1

Q: Use the implicit differentiation to find an equation of thetangent line to the ellipse defined by…

A: Given that  5x2- 2xy+3y2=19

Q: IT ysin5x xcos5y, 10

A:

Q: Find the derivatives of the function Sin-(3x-4x³)

A:

Q: 3. Rewrite the expression tan (2x) sec² (2x) entirely in terms of tangent.

A:

Q: In Exercises 31-44, use the Chain Rule to find the derivative.

A: The given function is y=sin2x. Obtain the derivative as follows.

Q: Show that the equation tan(x)=1−x has a real solution.

A: Using Newton raphson method.

Q: Verify the differentiation formula.

A: Given Data The differentiation formula is .   The formula of sech x is, The left-hand side of the…

Q: In Exercises 45-74, compute the derivative using derivative rules that have been introduced so far.…

A:

Q: In Exercises 39-42, calculate the higher derivative.

A: The given function is y=etsin t. Obtain the derivatives as follows.

Q: Use implicit differentiation to find y'. 7x2 - y? = 28

A:

Q: Find the derivatives of the function Sin-1(3x-4x3)

A: Given function

Q: Find the differentiation of tan 4√√x 1-4x

A: This is a problem of differentiation. Based on the general formula and concept we will answer the…

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse at the given…

A:

Q: Use the intermediate value theorem and Rolle's Theorem to show that the equation 2-3x+sinx=0 has…

A:

Q: 1. Simplify tan(x) sec(x) to a single trig function.

A:

Q: From the point (2,2), find the directions in which the directional derivative of f(x,y)=x2 +xy3…

A: Given f(x, y)=x2+xy3 we have to find the directions in which the directional derivative of function…

Q: Write tan 53° in terms of its co-function.

A:

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by 3x2 +…

A:

Q: Use differentiation to show that Sec'x + Csc¯'æ = for any a> 1.

A:

Q: For what theta value is implemented for the derivative max at point (2, -3) of the function f (x) =…

A:

Q: In Exercises 35–37, use Theorem 1 to derive the formula.

A: We have to derive the formula for ddxcot x=-csc2x.

Q: 3. Rewrite the expression tan (2x) sec²(2x) entirely in terms of tangent.

A: Given: tan52xsec22x Formula Used: sec2x+tan2x=1