F6.)-x*logs (3x •5) f(x)=x*l| x)=|

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

A: To find the derivative of the given function.

Q: Find the derivative of the f(x) = (x² + 1)³

A: To find the derivative of the function: fx=x2+13

Q: Find the derivative of h(x)=(3x+4)3/  (−3x−2) 4 You should leave your answer in factored form. Do…

A: The given function is h(x) = (3x+4)3/(−3x − 2)4. Rewrite the given function as h(x) = (3x+4)3/(3x +…

Q: Suppose that you can calculate the derivative of a function using the formula f′(x)=3f(x)+1x. If the…

A: Derivative of a function using the formula f′(x)=3f(x)+1x and f(3)=6. We know that approximate…

Q: 2 y = 3x2

A: Power rule of derivative is defined as dxndx=nxn-1. Difference rule of derivative is defined as…

Q: Find the derivative of function defined as follows.

A:

Q: What is the derivative of f(x)=−3? Do not include "f′(x)=" in your answer. For example, if you found…

A: Formula:The derivative of a constant function is zero.

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (x) = 5x – 4

A: Note:- These are multiple questions and according to our company guideline we can do maximum 1…

Q: Calculate the value of the derivative of the function y=x2−12x2 at x=1.

A: To calculate the value of the derivative of the given function at x = 1.

Q: calculate the derivative with respect to x. x3R5 = 1

A: Given expression

Q: Find the second derivative for the functions defined as follows ƒ(x) = (x2 - 1)2

A: Given function: fx=x2-12 fx=x4-2x2+1 Differentiate the equation w.r.t "x"…

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

A: The given function is f(x) = 4x Formula used ddx(ax)=axln(a)

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

A:

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

A:

Q: Find the derivative of the function. h(x) = (4/x^2)+(6/x^3)

A:

Q: Find the derivative of function defined as follows.

A: Given the function: y=-100x-11x23

Q: 4. g(x) = 4x³ log, x

A: Hello! Thank you for your question. We’ll answer the first question since the exact one wasn’t…

Q: Find the derivative of function defined as follows. y = 5x4 + 9x3 + 12x2 - 7x

A: Given function is y=5x4+9x3+12x2-7x. To find the derivative of the given function. Solution: Power…

Q: Find the derivative of the following using the three-step rule Зх -1 1. у3 2x+5

A:

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

A:

Q: Find the derivative of the function and then evaluate at the given point. y= 4x2 - 5x; (– 1,9) f'(x)…

A: The given function is y=4x2-5xThe point is (-1, 9)

Q: Find the derivative of function defined as follows. y = 5x-5 - 6x-2 + 13x-1

A: Given function is: y=5x-5-6x-2+13x-1 We have to find dydx. We will use the following formula for…

Q: Find the derivative of the following function by first expanding or simplifying the expression. f(x)…

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Q: Determine the value of X on which the derivative of the function Y = | 3x² + 4x + 1] does not exist.

A:

Q: find the derivative of the function f(x)=6x

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

Q: Find the derivative of the function   in two ways: by using the Quotient Rule and by…

A: x4−5x3+xx2 Given function f(x)=ddx[x4−5x3+xx2] Recall Quotient Rule  ddxxy=ydxdx-xdydxy2

Q: find the function with the given derivative whosegraph passes through the point P. g'(x) = 1/x2 +…

A: g'(x)=1x2+2x,P(-1,1) Formula ∫xndx=xn+1n+1+C

Q: f(x) = 3x2 + 1

A:

Q: B. Use the product and quotient rule to get the derivative of the following 4. Y= 2x-1/ x+2 5. f(x)=…

A:

Q: 2х-3 3. у %3 Зx+4

A:

Q: Find the derivative of the function. h (x) = x (4 + 4x)

A: Given : hx=x4+4x

Q: 1) Use the definition of the derivative to calculate the derivative off(x) = 3x2-5x+ 1

A: Find the derivative of f (x) = 3x2 –5x +1.

Q: Calculate the derivative of the functions given below.  f (x) = 3√x²+3x

A:

Q: Find the derivative of the following function at the indicated point from the graph of y=​f(x).…

A: Given:   f(x) = - 2x + 5    At x = 5

Q: Find the derivative of the function. y= 2^(3-x^2)

A: Given function

Q: Determine the value of X on which the derivative of the function y 3x2 + 4x + 1| does not exist.

A: Giveny=|3x2+4x+1|y=|3x2+3x+x+1|y=|3x(x+1)+x+1|y=|(3x+1)(x+1)|Using modulus propertyy=|3x+1||x+1|

Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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Q: By using the definition of the derivative find to f'(x) 3. 3x

A: our objective is find the derivative

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

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Q: Use the rule of differentiation to find the derivative of the given functions 1. y = (4x - 1)5

A: Questions basically from differentiation.  Note-As per our guidelines we are supposed to answer only…

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

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Q: Find the derivative of the function. F(x)= 1-6x

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Q: Evaluate the second derivative of the function at the given point f(x)=9/√x+9    (0,3)

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Q: #12: use the definition of the derivative to calculate the derivative of f(x)=9x^2

A: Definition of derivative for a function f(x) is given by f'(x)=limh→0fx+h-fxh

Q: Find the derivative of the function y=4√x3.

A: Given expression:y=4x3 Simplify the above expression, y=4x312y=4x32 Now, differentiate the above…

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

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Q: Find the derivative of the function f(x) = (2x² + 5æ + 2)° at æ : - 2)* - 1 f'( – 1) = 3

A: Given :f(x) = (2x2+5x+2)3 at x = -1First we will find the derivative of the f(x)

Q: Find the derivative of the following function by first expanding the expression. f(x) = (2x + 5)…

A: