10. G(x) 3ex -7 log, x - 2x %3D

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists.   h(x) =…

A:

Q: Compute the derivative of the following function. f(x) = 3x + 5x ex f'(x) = [ O

A:

Q: Find the derivative of the following function.   f(x)= 6x/5e^7x f'(x)=

A: The given function is,

Q: H(x) = 2x3- 3x + 4 Зх + 4 %3D

A: Hx=2x3-3x+4

Q: Find the Derivative Function for the following function, y=6ln(x)+5(2x)

A:

Q: f(x) = 2V- 3V+4V – 32

A: use the formula ddxxn=nxn-1 ddx(a)=0  where a is constant  the given function is fx=2x-3x3+4x4-32…

Q: Find the derivative of the following function. 3x +8 h(x)%D xf +9 h'(x) =|

A: Derivatives

Q: Find the derivative of the following function F(x)=(from x^3 to x^4)∫(2t−1)^3dt

A:

Q: Compute the derivative of the following function. f(x) = 3x + 7x eX f'(x) =D

A: f(x)=3x+7xexfI(x)=?

Q: Find the derivative of the following function. 4e 4x y = 5x-2 y'(x) =D %3D

A:

Q: 4. g(x) = x° · sin(x)

A: The given function is gx=x3·sinx

Q: Calculate the derivative of the following functions.

A: y=1-e-0.05x-1

Q: Find the derivative of the following functions.

A: The given function is fx=xe-x

Q: Find the indicated derivative for the following function. where 4xy-z= 3 %3D 立一次

A:

Q: Compute the derivative of the following function. 1(x) = 3e 3x f'X)%3D

A: Topic - differentiation

Q: Find the derivative of the functions below: In(x) (a) g(x) = log,(x) g'(x) = (b). y- in(6x®)

A:

Q: Find the derivative of the following function with respect to x x = sinh2y

A:

Q: Evaluate the derivative of the following function at x=0: f (x) =(e"+x)+ 4 O 16

A:

Q: Find the derivative of the following function. f(x) = sinh 16x

A:

Q: Differentiate the following function:P(t)=11Ce^t,where C is a constant.Enter the derivative here:

A: We have to find derivative of f(t) ,where f(t) is given by

Q: q(x) = (x5- 2x + 4)(3x?- x-6), P(-1,1) %3D

A: Given function is qx=x5-2x+43x2-x-6. To find the derivative of the function at point -1,1. Solution:…

Q: 1. x + y + xy = 21

A: We will use simple differentiation rules to solve this question.

Q: 3 S (x) = Se²* + +2x 2-1 +12 csc(x)cot (x)+3 b)

A: Explanation is given below.....

Q: find the derivative of the following functions

A: Derivative of xn is nxn-1 for n≠0. Derivative of a constant is equal to 0. One property of…

Q: Find the derivative of the following function. f (x) = log; 8x

A:

Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A: Using the quotient rule.The formula is-ddt[f(t)g(t)]=g(t)ddtf(t)-f(t)ddtg(t)[g(t)]2…

Q: Calculate the derivative of the following functions

A:

Q: Find the derivative of the function f(x) = 36x arccos(4x) + 9/1 – 16x? f'(x)

A: we will solve using product rule and chain rule of derivative

Q: Find the derivative of the following function F(x) (2t – 1)' dt

A: To find the derivative of the following function.Fx=∫x2x72t-13 dt

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists .

A:

Q: Compute the derivative of the following function. f(x) = 8x e 2x f'(x)= ]

A:

Q: Compute the derivative of the following function. f(x) = 3x e 3x f'(x) = O

A:

Q: Find the derivative of the following function .1 F(x) = ds 5 + 3s4

A:

Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A: Given: y=xx+15 To Find: The derivative of the given function

Q: Calculate the derivative of the following functions

A:

Q: Use the rules of differentiation to find the derivative of the function.                y = t2 − 3t…

A: Differentiation: y=t2-3t+1Derivative of the function we need to find out.We knowddx(xn)=n.xn-1

Q: Find the derivative of the following function. x* +7 h(x) = 2x -7 h'(x) =

A: We differentiate  the above function.

Q: Find derivative of the 6tanx following function d d.x

A:

Q: Find the derivative of the following question, showing the working and simplifying.  y=y(x), where…

A:

Q: Find the derivative of the function f(x) = 9e6 + e_™". f'(x) =

A: To find the derivative of the following function

Q: Evaluate the derivative of the following function at the given point. x+ 3x - 5y + 101 = 0: (-3.4)…

A: The objective is to evaluate the derivative of the function at the given point.

Q: 5Vx-2 cos x-e 13. P(x) %3D 3x-4 In x

A: Given- Px=5x3-2cosx-ex3x-4lnx To find- The derivative of the above function. Identity Used-…

Q: 5. k(x) = (-2x2- 2x+ 1)Vx %3D

A:

Q: Compute the derivative of the following function. f(x) = 2 e 2x f'(x) =L %3D

A: To find the derivative

Q: Find the derivative respect to x of the following function and simplify f(x) = (x - 5)2 ln(4x+1)

A:

Q: Find the derivative of the function. h(x) = log,(x2 + x) h'(x)

A: Differentiation

Q: Calculate the derivative of the following functions

A: we have to find the derivative of the following function   g(x)=xe3x=xe-3x derivative of…

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) =…

A: The alternate form refers here the definition of derivative.

Q: Find

A: We will find the derivative of the above function using logarithmic differentiation.

Q: 7. T (x) = costx - sin"x 8. W (x) = In\ X-1 x+1

A: we have to find the derivative of the given functions and simplify. 7. T(x)=cos4x-sin4x8.…

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: