xy2+5x2-3y2+45=0  (1,5)   Evaluate the derivative at the given function point.

Q: Find the derivative of f(x) = 2x/√x+1 if f'(2)

A: Given: fx=2xx+1 Formula Used: fg'=g.f'-f.g'g2

Q: Find the derivative of f(x) = 2x²+3x-1 if f'(-1)

A: Given: fx=2x2+3x-1

Q: Can you help me step by step with this problem?

A: To find the first derivative of the function given below.

Q: Find the derivative of the functions f(x)=(2x2-1)(x3+3)

A: We can make it easier for you.

Q: derivative of the function f (x) = xsec-1 (2x + 1)

A:

Q: Find the derivative of  g(z) = 4z7-3z-7+9x

A:

Q: Find the derivative of y = 2 + v2 + vx5 |2 + V2 + Vx5

A:

Q: What are the seventh and eighth derivatives of /(x) = x 7?

A: We have given f(x) = x7  nth derivative of xm  is m(m-1)(m-2). . .(m-(n-1))xm-n

Q: Find the derivative of the function. h(x) = ex² - > x + 5 %3D

A:

Q: -a ; Y 5.)(*+y)² +(x-y)

A:

Q: Use the Chain Rule to find the derivative of the function. y = (2x2 − 3)3 y' =

A: The chain rule to find the derivation is,

Q: ii.) Find the derivative of f(x) = x°(2x* + 5x³ – 3)5 when x = 2. %3D

A:

Q: Find the derivative of function (x+2)² (x – 1)3* f(x) -

A: f(x) = x+22x-13f'(x) = x-13×2x-2-x+223(x-1)2x-16f'(x) = x-12x+22x-1-3x+2x-14f'(x) = x+22x-2-3x-6x-14

Q: Let f(x) = r - 3z2 - 1. Calculate the derivative

A:

Q: Find the derivative.

A: Given: To find the derivative of y=2x-3-xx

Q: Find the derivative of f(x) = - 2 * root(4, x ^ 5) + 7/(x ^ 6)

A:

Q: Find derivative of y= x(3x-1)5

A: Use the product rule to differentiate the given function with respect to x…

Q: Find the derivative of the function f(x)=x-2/2+x square root

A:

Q: Find the derivatives of the functions in Exercis

A: Given, y=5-2x-3+182x+14

Q: Find the derivative of 1-3)* (t3 -8) ,t # 2 2-t

A: Explanation of the answer is as follows

Q: Find the derivative of the function. 2 x* + 2 .2 y 2 y' =

A: y = x2+2x2-25we know:ddx xn = nx(n-1)ddx f(g(x)) = f'(g(x)) . g'(x)

Q: Find the absolute extrema of the function f(x) =x* - 32x + 256 on the interval [- 5,5]. Find the…

A: To find: The absolute extremum of the given function

Q: Find the first and second derivatives of the functions

A:

Q: Estimate the derivative of the function f (x) = - – 3 at the point x = 3. 3 3 1/5 1/3

A:

Q: Find the derivative of the function f(x)=2x−73x−2 at x=2

A: topic - derivative of a function

Q: find the derivative of function x^2+4y-10x-16y+5=0 at (7,3)

A: Given:       x2+4y2-10x-16y+5=0        at 7,3    Differentiating on both sides…

Q: Find the first and second derivative if w = 3z-2-(1/z)

A:

Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: 3 Determine the 3rd derivative of the function f(x) = 2√√x-x³

A:

Q: Calculate the derivative of the function y=(2−x3)(13+x2).

A:

Q: *show work*

A: Given:

Q: Find the derivative. Using Chain Rule y = (2x2 – 1)3(3x² + 1)³ |

A: According to question,Given Function,y = 2x2-133x2 + 13

Q: How do you find the derivative of the quotient of two functionsthat are differentiable at a point?

A: Given: Let f and g be two differentiable function at point x.

Q: Find the derivative of the function. f(x) = 5x4 - x6 f'(x) = %3D

A: The given function is                                   f(x)=5x4-x6 Now we find the derivative of…

Q: Find the second derivative of the function. . f(x) = 4x3/2 : 1. g(x) = %3D X-1 .. h(x) = secx

A:

Q: 1 EX-1- Find the derivative of the function : f(x)= /2x+3

A:

Q: evaluate the derivative of the function at the given pointf(x)=-4/(2x2-3x)4 , (1,-4)

A:

Q: Find the derivative of the function. f(x) = V3 - 6x2 %3D f'(x) = || %3D

A:

Q: Draw the function x = 2y-y2 by using the tools of derivatives?

A: The given function isx=2y-y2.

Q: Find the derivative of the function. y = x²V25 - x² %3D %3D

A: Differentiate wrt x

Q: Use the chain rule to find the derivative of f(x) = 4( – 5æ" + 3z")" %3D

A:

Q: Find the derivative of the function. f(x) = 2x In 2x %3D

A: Given, f(x)=2xln2x To find the derivative of f(x).

Q: How do you find the derivative of function y=x^2-2radicalx/x

A:

Q: ***** Find the derivative of the function. Express the 2+3 f(x) 4- x2

A: The function is in the form of u/v. Kindly follow the attached imaged.

Q: with positive exponents only

A:

Q: x +4 3. y = [- (x2+1)7 :3

A: Given that y=x+4x2+13 Simplifying we get y=x+43x2+132

Q: ind the derivative of f(x)= (x^3)/(x^3-5x+10)

A: Given:    f(x) = x3x3-5x+10

Q: how do i find the derivative of this but not simplified  y= (x^2+x+6)(x^1/3-2x^1/2+1)

A: To determine the derivative of the function.

Q: Determine the derivative. x – 2x + а) у- x+3 b) y = n(4x² – 5x)

A: