1 Find the function whose derivative is (x+1)-

Q: Sketch the graphs of two functions that have the given derivative: f'(x)=2

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Q: Find the Derivative of the Function: 1 f(x) (5х + 1)

A: To find the derivative of the given function.

Q: Find the function whose derivative is 1-e2x

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Q: Find the derivative of the function g(x) = sech2 3x

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Q: Can you help me step by step with this problem?

A: To find the first derivative of the function given below.

Q: Find the derivative of the algebraic function.

A:

Q: Find the derivative of the function. 21/4 1/2 +1

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Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: Find the derivative of the function. 4 = 3 + 8cos x

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Q: Find the derivative of the function. X-1

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Q: Find the derivative of the function g(x) = log3 √(1 − x)

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Q: 14. f(x) = 2 +3cos x

A: using basic properties and application of derivation we will solve this question.

Q: Find the derivative of the function. y In x2+9

A: Given function is: According to chain rule of derivatives:According to the quotient rule:

Q: Find the derivative of f(x) = e-2 / x^2

A: Consider the function fx=e-2x2 Here, the objective is to find the derivative of the function.

Q: Find the derivative of the function.

A: Given function is hx=x+5x2+32 We have to find derivative of given function. To find derivative of…

Q: Find the derivatives of the function f(x) from the first principle x*+4

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Q: Find the derivative of the function. 2 + 2

A: To find the derivative of the function, y=rr2+2

Q: Find the derivative of  (x + 1)³ / x

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Q: Find the derivative of the function f(x)=x-2/2+x square root

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

A: We know that  ddxxn = n·xn-1

Q: 5. Find the derivative of y= x' +2x -1

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Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: given,        fx=1-2x4x+5

Q: Find the derivative of the function: f(x)=ln x^2(x-3)^3÷(x+1)^4

A: To determine the derivative of given function.

Q: Find the derivative of the following function by definition (from first principle): f(x)= x/(x-1)

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Q: Find the derivative of the function. 10 f(x) = 3 + 2cos x

A: Recall: dxndx=n xn-1 d(cos ax)dx= a(- sin ax) dc1f(x)±c2 g(x) dx= c1d[f(x)]dx± c2d[g(x)]dx

Q: Find the derivative.

A: Differentiate above equation with respect to x dydx=ddx{ln(x+1x3+1)}dydx=1(x+1x3+1)ddx(x+1x3+1)…

Q: Example 4:- By using the four steps rule, find the derivative of the function f(x) = Vx + 2

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Q: Find the derivative of the algebraic function.

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Q: 3 Determine the 3rd derivative of the function f(x) = 2√√x-x³

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Q: Find the derivative of the function. f(x) = 4 3√x + 2cos x

A: The given function is ; f(x)=4/3sqrt(x) +2Cosx.

Q: Enumerate and explain the steps in finding the derivative of this function: y=1/[2*sqrt(x+3)]

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Q: Find derivative of the functions xx-1 2

A: The detailed solution is as follows below:

Q: 1 EX-1- Find the derivative of the function : f(x)= /2x+3

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Q: f(x) = log,(x² – x + 3)

A: Given: f(x)=log4(x2−x+3)

Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: 8) Find the derivative of each function: 2. a)g(x) = 3x +5x

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Q: 14. Find the derivative of the function using the definition of derivative. f (x) = V1 – x

A: Derivatives

Q: Find the derivative of the following function by definition (from first principle): 1-x f(x) =. 2x

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Q: 4. Find the derivative of f(x) =x' +1

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Q: Find the derivative of y =x°+x°. -3+5 Give your answer with positive exponents.

A: Given function :

Q: Find the Derivative of the given function. If f(x) = -3, then f'(z) = %3D

A: Given f(x)=-3

Q: Find all possible functions with the given derivative. = రx = 1x 2x

A: The answer is given below

Q: Find the derivative of the function. 10 f(x) = 3 + 4cos x %3D

A: Given that fx=10x3+4cosxTo find its derivative

Q: 1. Use the definition of the derivative to find the derivative of f(x)- V-x-2

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

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Q: Estimate the derivative of the function f (x) =: -3 at the point a = 3.

A: The function is given by fx=x3-3 differentiate the above function w.r.t "x" f'x=ddxx3-3…

Q: Find the derivative of the function g(x) 4+ 2x = (x),6

A:

Q: 3. Find the derivative of g(x)=

A: We will use Lebnitz rule to find the derivative Of g(x).

Q: Solve the derivative of f(x)=−1/√5 x.

A: we have to find the derivative. f(x)=-15x