f(x) = V7- 3x

Q: Find the derivative of the function.

A: Use the formula of product rule to find the derivative that is df(x)×g(x)dx=f'(x)×g(x)+f(x)×g'(x)…

Q: Find the derivative of the function y=x2−5x.

A: We differentiate both sides with respect to x.

Q: Using the definition of derivative, find functions: a) y = xVx -2 .2 (b) y =- (x-1)

A: Given ,f(x)=xx2-2Therefore,f(x+h)=(x+h)(x+h)2-2We know that…

Q: Find the derivative of the function and then evaluate at the given point. y= 2x - 5x; (- 1,7)

A:

Q: Find the derivative of the given function. 3-2х y = 3+2x

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the derivative of the function. g(x) = ex³ - 2x g'(x) =

A: The function is given by gx = ex5-2x Formula Used: The chain rule of the derivative is ddxfgx =…

Q: Find the derivative of the function.

A: Given, y=1x2+53

Q: Find the derivative of the function.  y = x/√(x2 + 1)

A:

Q: find the derivative of the following functions

A: Consider the function  g(x)=6x−2xex

Q: Find the derivative of the function. 9х - 1 y3= x2 + 7x y' = D

A: Given: y=9x-1x2+7x Quotient rule for derivative: ddxuv=v u'-u v'v2

Q: Find the derivative of the function. F(x) = /1 – 2x

A: Given, Fx=1-2x

Q: Find the derivative of the function. 7 x2 + 1 y = x2 - 1

A:

Q: Find the derivative of the function f (x)=x-2r.

A:

Q: Find the derivative of the function g(x)=(2x^2+2x+2)e^x g'(x)=

A:

Q: Find the derivative of y = f(x) x2 +1

A:

Q: Find the derivative. y = Vx2 + 1

A:

Q: Find the derivative of the function.    t(x) = (x2 − 8x3)/(x)

A: Given, t(x)=x2-8x3xTake 'x' common from numerator,we gett(x)=xx-8x2xCancel 'x' from both numerator…

Q: The derivative of the function f (x) = (x-1 – 2)(3 – Vx) is,

A:

Q: Find the derivative of the function and then evaluate at the given point. y = 2x - 3x; (- 1,5) f'(x)…

A: f'(-1) = - 7  The detailed solution is as follows below:

Q: Find the derivative of the function g(x) = (2a? – x + 5)e"

A: Our Aim is to find the derivative of (2x2-x+5)ex.

Q: find the derivative of the function.

A: Here given as gx=3x-5 or   gx=3x-5x>535-3xx≤53

Q: Find the derivative of the function. 7 q = = Vx' - 2x

A:

Q: Find the derivative of the function. 2 + g(x)

A: We know that  ddxxn = n·xn-1

Q: Find the derivative of the function and then evaluate at the given point. y= 4x2 - 5x; (– 1,9) f'(x)…

A: The given function is y=4x2-5xThe point is (-1, 9)

Q: Find the derivative of the function.

A: Given function is Differentiating both sides with respect to x, by using product rule of…

Q: find value of derivative f'(a) for the given value: f(x)=x2 + 3x + 1, a=3

A:

Q: Find the derivative of the function. x2 - 2x3 t(x) t'(x) =

A: In the question it is asked to calculate derivative of following function.

Q: Find the derivative of the function. y = x2 √(16 − x2)

A: Given:y=x2 16-x2Product of differentiation  formula:ddxuv=uv'+vu'

Q: Find the derivative of the function y=√4-3x.

A:

Q: Find the derivative of the function and then evaluate at the given point. y 3x2-4x; 1,7)

A: To determine the derivative of given function and then evaluate at the point (-1, 7).

Q: Find the derivative of the function. 76 y = Vx - X y' = O

A: We know ddxxn = n·xn-1 xab = xab x-a = 1xa

Q: Find the derivative of the function. g(x) = 4e√x g'(x) =

A: Consider the given function:

Q: Evaluate the derivative of the function at the given point. t= -2 8t+3'

A:

Q: Find the derivative of the function. 3.4 q = Vx' + 3x + 3x

A: Given function is

Q: Using the definition of derivative, find the derivative of the following functions: 1 (c) y= 2x

A: Given, The function  y = 12x   We have to find the derivative of the following function.

Q: Fg(x) = 1 Vx-1

A:

Q: g(x) =e*(2x² – 3x)

A: g(x)=e^x (2x^2-3x)

Q: Calculate the derivative of the function, then find the value of the derivative at the specified…

A:

Q: Find the derivative of the function. f(x) = e!/(9x) f'(x) = %3D

A:

Q: Find the derivative of the function. 8. 7t2 + t

A:

Q: Find the derivative of the function. q= 5 3 x + 6x

A: The given function q=x3+6x5

Q: Find the derivative of the function. f(x) = ∣x2 − 9I

A: We know that ddxu=uu×dudx

Q: Find the derivative of the function. y = x*V25 - x²

A:

Q: Find the derivative of the function g(x)=e^x/2−4x g'(x)=

A: Here we need to apply chain rule of differentiation. We have Derivative of e^x is e^x.

Q: Find the derivative of the function y= 4, 5x 3x+5 The derivative is

A:

Q: Find the derivative of the function g(x)=e^x/2+5x g'(x)=

A:

Q: Find the derivative of the function. g(x) = ∣3x − 5∣

A: We have to find the derivative of the function, g(x) = ∣3x − 5∣

Q: Find the derivative of the function. y = x(x2 + 1)

A: Given y = x(x2 + 1)

Q: Find the derivative of the function  y=[x2 + (1  -3 x)5]3

A:

Q: et g(æ) 5x – 4 ='(x) =

A: