g(x) = x3 + 8x + 4 1 h(x) = 5 + x2 f(x) = (x³ + 8x

Q: f (x) = (x² – 1)**1

A:

Q: need help solving this please

A:

Q: Find the derivative of the function.

A: fx=x3-2x+3x-3

Q: Find the derivative of the algebraic function.

A: To Find the derivative of the algebraic function. f(x)=x2+5x+6x2-4

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: Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x) =…

A: Given f(x) = 3x then f'(x) = limh→0f(x+h)-f(x)h= limh→03x+h-3xh= limh→03x-3x-3hx(x+h)h=…

Q: find the derivative of the following functions

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

Q: Find the derivative of the function. g(x) = √(4 − 3x2 )

A:

Q: Find the derivative of f(x) = x2√(1 − x2)

A: Given:

Q: Find the derivative of the function g(x)=(5x^2−3x+1)e^x g'(x)=___

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: Find the derivative of the function. g(x) = 2(3 - 8x) g'(x)=

A:

Q: Find the derivative of the function g(x)=(3x^2−4x+3)e^x g'(x)=

A:

Q: x2 + 6 (a). f(x) x2 – 6

A:

Q: Find the derivative of the function. h(x) = (4x3 + 2x + 5)/x

A: Given that h(x)=4x3+2x+5x

Q: Find the derivative of the function. f(x)= 10Vx- 6e*

A:

Q: Find ƒ‴ (x) , the third derivative of ƒ, and ƒ (4) (x) , the fourth derivative of f, for function.

A: To Determine: The third and fourth derivative of fx=x2x+1

Q: Find the derivative of the following functions.

A: The derivative of a function gives the rate of change of the function. It gives the slope of the…

Q: Find the derivative of the function. 1 g(x) x2 +o g'(x) =

A: Use the basic power rule of derivative and simplifie.

Q: Find the derivative of the function. g(x) = 2(4 – 7x)* %D

A: given function :

Q: Find the derivative of f(x) = e3 (5x² + x)

A:

Q: Find the second derivative of the function h. h(x) = (10 – x2) (5x + 17)

A: Here, h(x)=(10-x2)(5x+17)

Q: Find the derivative of the algebraic function.

A: The given function is fx=x41-2x+1.

Q: Find the derivative of the function f(x) = x(4−3x)

A: Given: fx=x4-3x we know that ddxu.v=vdudx+udvdx

Q: g. f(x)=(1–3x)°(x²-2)°

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Find the derivative of the function f(x) = 5x-3 + x² + 14. f'(x) =

A:

Q: Find the derivative of f (x) = e(x3 − 10x2 + 8 ) .

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

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. g(x) = 3(4 – 7x)* g'(x)=

A: We have to find g'(x).

Q: Use the definition of the derivative to find the derivative of each function with respect to x. 1)…

A: Given: The functions in x is given.         1) fx=-4x-22) y=4x2+13) fx=-3x2+4 Objective is to find…

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

A: Consider the given function:

Q: Find the second derivative of the function.       f(x) = x2 + 3x−3

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

Q: find the derivative of the function h(x)=x(7+7x)

A:

Q: Find the derivative. f(x)x (2x+1)

A:

Q: Find the derivative of the function. f(x) = x(2x − 5)3

A: the given function is: f(x)=x2x-53 we have to find the derivative of the given function.   as we…

Q: Find the second derivative of the function. f(x) = (3x° + 6)*

A:

Q: Find the derivative of the following functions. -3 g(x)=(x² –3x² +1) 8.

A: 8. Given g(x)=x3-3x2+1-3. The objective is to find the derivative of the function.

Q: Find the derivative of the following function. f(x) = 8x° + 7x

A:

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. x2 + 8 f(x) = x - 8

A:

Q: The derivative of f(x) = x4 + 4e2x is-

A:

Q: Find the Derivative f(x) = X3In x

A: The derivative of f(x)=X3lnx ddx(x3lnx)Apply product…

Q: Find the derivative of the function g(x)=(5x^2+2x−1)e^x g'(x)=____

A:

Q: Find the derivative of the function. f(x) = x2 + 5 − 3x−2

A: Known fact: ddxxn=nxn-1ddxf±g=dfdx±dgdxddxk=0   where k is constant

Q: Find the derivative of the function. f(x) = x3 − 2x + 3x−3

A: Consider the following function: fx=x3-2x+3x-3=x3+x-3 Differentiate fx with respect to x:…

Q: Find the derivative of the function. 8x - 1 f(x) f'(x) = %3!

A: Given function is     f(x) =8x-1x         We solve by using u/v rule d/dx(u/v) = {vdu/dx -…

Q: Find the derivative of the following functions and simplify: a. g(x) = 3x5 - 2x2 + x-1 + π3 b.…

A:

Q: The derivative of f(x) = x³e2x is

A:

Q: Find the derivative of the function f(x) = /(x³+ 11x) by using the definition of the derivative.

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: