(5a2 + 4)4 cos(2x) e 4a3 Vx² + 1

Q: Find the derivative of the function f(x) = = sin(x) - 1 cos(2x) + 1 4

A:

Q: Find the derivative of f(x) = COS 4 log3 (x²) os(5x)

A: Explanation of the answer is as follows

Q: Find the derivative of the function y = 8 cos(2x)

A:

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. у 3 ; d'y/dx

A: Question 1,Given,            y=x2-3x3xTo find : d3ydx3

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

A: As we know that: The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 Given: fx=2cosxx+1

Q: Find the derivative of k(x) = log3(x) cos

A:

Q: Find the second derivative of the function. f(x) = cos(2x?) f "(x) =

A:

Q: Find the derivative of y=(e^2x)sin5x   (Not sure what to do with the (e^2x))

A:

Q: What is the derivative of y = cos-1 (x² + 2)? %3D

A: Derivatives formula ddxcos-1x=-11-x2 ddxxn=n xn-1

Q: Find the derivative of the function. y = −6 sin 3x4

A:

Q: Find the derivative of f(x) = 2(x² + 3x) cos(sin(x³)).

A: I have used product re and derived of composition of two function

Q: Find the 30th derivative of y = cos(2x). f(30)(x) =

A: Take the derivative multi times and observe the pattern then write the required answer.

Q: What is the derivative of y = sin(3x²) cos(3x²)

A: We have to find the derivative of given function.

Q: Find the derivative of the function. y= log sv7x +3 dy dx I3D

A:

Q: Calculate the derivative of the function y=(x6+2)x  ​(i) using the fact that bx=exlnb and​ (ii) by…

A: Given function is ,

Q: Find the derivative, if y = (log x)" +(sin x)™* -x %3D

A:

Q: Find the derivative of cos (ry) = -4x° y? + 5 using implicit differentiation.

A:

Q: Find the First Derivative of the Given Function: 2.) x=sec53t

A:

Q: 2 у + y 2xy=X+Y!

A: Given  equation y2+2xy=x+y

Q: y = (cos(x²))*

A:

Q: Find the derivative of y = sin(-* e-X 2ex + 1

A:

Q: y = (cos COS T 4x5

A:

Q: Find the derivative of the function. y = x/2 − sin 2x/4

A: Given function is y=x2-sin2x4 We have to find derivative of given function. Differentiating the…

Q: Find the derivative of the function f(x) = at sin(7x + 14) + In(2r+10)

A:

Q: compute the derivative. y = 4 cos(2 − 3x)

A: We know that, ddxcosx=-sinx. Chain rule states that, ddx(f(g(x))=f'(g(x))×g'(x).

Q: Find the 3rd derivative of (1 + 2y)³ + eª (sin² y) - 3y cos(e=? )

A: Given data (1+2y)3+ex(sin2y-ycosex2=3y and find 3rd derivative or d3dx3=?

Q: 1. Find the derivative of the function sin (4x) f (x) = V 3x

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Q: Find the derivative of the function

A:

Q: 5. y³ = 4(y + x²)

A:

Q: Calculate the derivative of the function y = (6^6 + 3)^x using the fact that b^x = e^(x ln b) and by…

A: Consider the given function:

Q: Use logarithmic differentiation to find the derivative of 3x-7 cos2(x) ex (5x? +9)* f(x) = %3D

A: First take lograthim both sides than take the derivative and simplify.

Q: Find the derivative of the function.

A:

Q: Find derivative of y=cos(7x).

A: The given function is

Q: 2) Use logarithmic differentiation to find the derivative of: /(x) (r²+3r + 4)*+1,

A:

Q: Find the derivative of the function. y = sin-1(4x + 1) У'%3

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Q: Find the derivative: f(x) = cos 1 + e8x 1- e6x – ebz f'(x) =

A:

Q: Find the derivative of h(x) = (1+ cos x)*

A:

Q: Find the 10th derivative of y = cos 3x. f(10)(x) =

A: Given, y=cos3x

Q: 3. y = sin¬(1+x²)

A:

Q: Which is the derivative of y= sin (x2-2x + 1)? О 2х-2) (2x-2)Cos(x²-2x + 1) O Option 2

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Q: f y = (sin x)x b

A:

Q: find the derivative of f(x)=(x^4+3x^2+8)cos

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Q: Find the derivative of y= log, (5x³)+log, (sin.x)

A:

Q: Find the first derivative of f = (h+2)² (2h+1) h²+3 V using logarithmic differentiation

A:

Q: Suppose that x and y are related by the equation 2x - y = 2 and use implicit differentiation to…

A:

Q: b) y = cosh(2Vx+1)

A:

Q: Find the derivative of V(x) = ln(sin x) – (x4 – 3x)10

A: We can find the derivative as below.

Q: Obtain the derivative of the function y cos (9y ) + tan (4x) csc (2x) y =

A:

Q: Find the derivative to by implicit differentiation Sinx +4 cos y=3

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: