150. dx), V9 – y²dy 3

Q: Calculate the derivative of the following functlon. 18 y3 (csc x+ cot x) dy %3D Xp

A: Given function, y = (csc x + cot x)18                                   ⇒ddx ( csc(x ) + cot ( x )…

Q: Use the Fundamental Theorem of Calculus part I to find the derivative of h(a): cot(t) dt

A: We have to send

Q: Find the equation of tangent line of the function f(r) = e"/x at the point a = 1. Write in the form…

A:

Q: Use the appropriate Product Rule to evaluate the derivative, where ri(t) = (9t, -10, -t°),r2(t) =…

A: Given:    r1t=9t,-10,-t9 and r2t=-4, et,-10 To find:   ddtr1t·r2t Formula used:  Product rule of…

Q: Use implicit differentiation to find dy/dx.

A: In implicit differentiation, both the sides of the equation are differentiated with respect to x and…

Q: Find all values of x where the tangent lines to y = x² and y = x³ are parallel.

A: Slope of both curves are equal

Q: Question 4

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Q: Let b(x)=h' (x), find the tangent line to b(x) when x = 6 .

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Q: Find the derivative of f(2) (sin z-cos z). =CON D(A) Se)- O(D) )

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Q: Use the Fundamental Theorem of Calculus to find the derivative of F(x) = tan(t?)dt

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Q: dy Use implicit differentiation to find da y? + 7x³ 5y – 4x?

A:

Q: Find the derivative of h(z)=(az+b)/q  . Assume that a, b and q are constants. h′(z)=

A: Given function is, h(z)=(az+b)q where a, b & q are constants.

Q: evaluate the derivative by using the appropriate Product Rule, where r1(t) = (t2, t3 ,t), r2(t) =…

A: Given the function r1(t)=(t2,t3,t)r2(t)=(e3t,e2t,et)

Q: Find the slope of the tangent line to the curve 4x? – 4xy + 4y3 – 272 at the point ( – 2, – 4).…

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Q: Use the Quotient Rule to calculate the following derivative. z3 if w = Vz + z' dw Find dz Iz = 25 dw…

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Q: Find the equation of the tangent line to x? – y + y? = 21 at the point (1,5).

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Q: Find equation of the tangent an ine to the carve ad X= Xo, ' line

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Q: Find the derivative of the function. f(t) = emt cos(nt) %3D

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Q: Find the slope of the tangent line to the curve1x^2+1xy−3y^3=−24at the point (−2,2).

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Q: Find the equation of the tangent line at the given point on the curve. 2x2 + 2y? 29y-y e 58x/5, .2…

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

A: This question can be solved by using the concept of finding the slope of tangent at the given point…

Q: Find the derivative of the folowin g tetion 5(tansc) BIY= Tin1o](Sin )C cosse) Cy'= Dy= %3D Sn(…

A:

Q: Find the derivative of function.

A: Use the product rule to find the derivative for s. s=t2lntdsdt=ddtt2×lnt+t2×ddtlnt

Q: Find the slope of the tangent line to the curve – 2x? – 2xy 19 at the point (4, – 3). Preview

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Q: Find the slope of the tangent line to the curve 3x? – 4xy + y³ = 3 at the point (1, – 2). -

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Q: (2) At what point(s) will the tangent line to y = x? - 4x +3 be horizontal

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Q: By using caushy Rieman find the derivative of f(z) =lz| if it exit O fiz) = 2 +121 (3)

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Q: ind the tangent line for the following 3. x3 + y3 – 6xy = 1 at (2, 3) 4. (x² + y²)? = 4x²y at (1, 1)

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 67) y = In 8x2

A: Since the expression contains x, we have to find derivative with respect to x.

Q: se the quotient rule to find the derivative Vt p(t) = %3D 4t-3 (t) =D %3D

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Q: dt d Use the Fundemental Theorem of Calculuss to find the derivative dx 1v

A:

Q: Use the Quotient Rule to show that the Powers of x Rule appies to negative Integer powers. That s,…

A: The given function is fx=1xk   where k>0. Quotient rule says that ddxfg=gdfdx-fdgdxg2.

Q: Suppose z is a function of x and y satisfying the equation rey + ye" + ze = 1. Use implicit dz dz…

A:

Q: Let 22 + y? = 45- dy -(6, 3) [The derivative at da the point (6, 3) ].

A: Given,           x2+y2=45

Q: Find the equation of the tangent line to y= sech? (x) . = In(3). at x

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Q: Find all values of x where the tangent lines to y = x and y = x° are parallel.

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Q: dy Find dx if y = v5 – x2 , by using definition formula of derivative (ll ips pläiul).

A:

Q: Apply the Fundamental Theorem of Calculus to obtain the following derivative. sin(x) dx

A: The Fundamental Theorem of Calculus says: ∫abf(x)dx=F(b)-F(a) where, F is an antiderivative of the…

Q: Find the tangent of ZH. 85 36 J

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Q: Find the equation of the tangent line to the function f(x) = 2x? – x at the point where x form y =…

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Q: dy Use implicit differentiation to find dr y? + 4x = 5y- 7x? dy da Submit Question

A: Topic:- derivatives

Q: O Use implicit differentiation to find y'. 4.x2 + y? = 18 %3D

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Q: Use implicit differentiation to find dz/ox and ôz/ðy. e2 = xyz %3D

A:

Q: Find the derivative.

A: Given,

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

A:

Q: „sin x d dx. V1 – 1²dt 154.

A:

Q: Find the slope of the tangent line to the curve 2a? – 4xy – 4y³ = 4 at the point ( – 2, – 1).

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Q: dy Find dx if y = V5 – x2 by using definition formula of derivative (l ié ina plaäiul).

A:

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(a² + y?)' = 25 (æ² – y²) at the…

A: The given equation of the curve: 2x2+y22=25x2-y2

Q: ) R(y) = S, t³ sin t dt

A: