Plot the following functions 1. y = -V2x +1 2. y = (x- 1)3 + 2

Q: Differentiate the following function. y = 5 ex – 2x dx II

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Q: Q2: A) Find an equation of the line tangent to the function of x+ (y-x)2 = 9 at x 1.

A: Answer

Q: Plot the following functions 1. v y = -x|x|

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Q: Plot the following functions 1. y = - v2x +1 2. у %3D (х — 1)3+2 3. y =- 2x

A: 1. Plot of y=-2x+1 is shown in below figure:

Q: Find the derivative of the function. (S h(x) = %3D 8x2 + 9

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Q: Find the derivative of the function. f(x) = V 5x + 4

A: Question number 1,Given,          fx=5x+4

Q: Make two separate plots of the function f(x) = (x+ 1)(x-2)(2x-0.25)- e. 2. one plot for 0sxs3 and…

A: Given, f(x)=(x+1)(x-2)(2x-0.25)-ex We plot this function in two different intervals.

Q: Differentiate the following function. y = 6 e* (1+3 ex)2

A: To differentiate the given function :

Q: Find the derivative of the function. f(t) = t2/3 − t1/3 + 4

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Q: Find the derivative of the function. f(t) =   1/2 (8t2 + t)−3

A: d/dt(f(t)^n) = nf(t)^(n-1)(d/dt (f(t))

Q: Find the derivative of the function.

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Q: Find the derivative of the function. (Sim g(t) = V7 – 4t3 %3D %3D = (?), 6

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Q: Find the derivative of the function. f(t) = (6t + 7)2/3

A: Consider the given function below:

Q: Find the derivative of the following function. 9e7x y = 7x-3 y'(x) =O

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Q: Find the derivative of the function. y = V 3 + 2e7 II y' = %D

A: To find detivative of y=√(3+2e^(7x))

Q: Decide, whether the function w = z2 + 3z has a derivative (and where) and then find it.

A: Complex number: A number of the form z=x+ιy where x and y are real numbers, is called a complex…

Q: Find the X coordinates to the curve Y= X^5 - 5X^4 when the gradient = 0

A: Given equation is Y= x5- 5x4 Gradient =0

Q: At what points are the functions continuous? y = (2r – 1)/3

A: Given function is, y=2x-11/3. The given function is a rational power of the polynomial function, and…

Q: Find the derivative of the function. h(t) = t2(3t + 7)3

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Q: Find y, of the following functions: (i) y=e³x+2

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Q: Find the derivative of the function.z = 5t13/5 − 2t9/4 − t1/2 + 8

A: we have to find derivative of f(t)we will use power rule of deivative

Q: Find the derivative of the function. f(t) = 4t2/3 - 8t/3 + 4 8.

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Q: Differentiate the following function.   y = (ex + 1) / (x - 1)

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Q: Find the derivative of the function. h(t) = t2(2t + 3)3

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Q: does xy=4 describe y as a function of x?

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Q: Sketch the curves of the following functions: 1. y= (x² – 1)* 2. y = x Vx + 1

A: y=xx2+1 To find x-intercepts, put y=0, we get ⇒xx2+1=0⇒x=0  or  x2+1=0⇒x=0  or  x2+1=0⇒x=0…

Q: find derivative of the function  h(t) = t2(8t + 7)3

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Q: Find the derivative of the function. Re) = (6t + 17)2/3 f '(t) =

A: Given  ft=6t+723 To find the derivative chain rule is used F't=f'gxg'x and the derivative used…

Q: Plot the following functions y =-1 2x

A: Given function, y= 1/2x -1

Q: Differentiate the function y=xcosx  and y=(x+1)e2x.

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Q: Make two separate plots of the function f(x) = (x+1)(x-2)(2x - 0.25)- e one plot for 0sxs3 and one…

A: We need to make two separate plots of the function f(x)=x+1x-22x-0.25-ex one plot for 0≤x≤3 and one…

Q: Find the derivative of the function. f(t) = (4t2 − 6t + 7)3⁄2

A: Topic:- derivatives

Q: Plot the following functions 1. y = - V2x +1

A: x y=-2x+1 -12 0 0 -1 1 -3 2 -5

Q: Plot the following functions 1. y = - V2x +1 2х + 1 2. y = (x – 1)3 + 2 3. y =-1 3. У 2x

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Plot the following functions 1. y = - V2x +1 2. y = (x - 1)3 + 2 3. y =-1 2x

A: As per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

Q: Differentiate the following functions. eX+e=* y D .y= 2

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Q: Find the derivative of the function. f(t) = (9t + 16)2/3

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Q: Find the Batio fies function that y².e y(o)=

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Q: Find the derivative of the function. f(t) = (9t + 2)2/3

A: We have to find the derivative of the function f(t)=9t+223.

Q: Find the derivative of the following function: 2x-1 11. y = %3D Sx +2 13. y = V2x + 6 %3D

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Q: Plot the following functions Oyニ-12ス+1

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Q: Find the derivative of the function. 1 y = V7x + 8 2(7x + 8) () y' =

A: y=17x+8y = 7x+9-12

Q: Find the derivative of the function. f(t) = (3t + 18)2/3 f '(t) = 3V31 + 18

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Q: Plot the following functions 1. y = - V2x + 1 2. y = (x- 1) + 2 3. y=-1 2x 4. y? = 6 -x 5. y = 1-…

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Q: Find the derivative of the function. 3t13/3 2t7/4 t/2 + 7 z' =

A: Given: Z = 3t13/3 - 2t7/4 - t1/2 + 7 Find : derivative  of the function  In this problem the…

Q: From the previous number, compute for the derivative value of the maximum magnitude. A. 20.4861 C.…

A: Find directional derivativeϕ=z sech-1y tan-1ln x in the direction of dx=2dy=-3dz at point e3, 0.5, 4…

Q: Find the derivative of the function. t2 (a) F(æ) = |7 1+t3

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Q: Q3/ find the derivative La)= メ 2. logs (x+3) 2x+4

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Q: Differentiate the function P = 5t³ + 4e'. dP dt

A: GIVEN: P = 5t3 + 4et TO FIND: dPdt

Q: Find a function y = ax? + bx +c whose graph has an x-intercept of 1, a y-intercept of –3, and a…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

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: