Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. Function Point y = 4x4 - 5 (1, –1) У (1) %3

Q: Find the derivative of the function y= 6e 4x 3x+4 The derivative is

A: Please refer the attached image for complete solution.

Q: Find the derivative of the function at the given point (a) by approximating the definition of the…

A: Given: f(x)=x1x   To prove: Find the derivative of the function at the given point (a) by…

Q: Find the derivative of the function

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Q: Find the derivative of the function.

A: y=(7x+3)4

Q: Find the derivative of the function. Y = 39=2

A:

Q: Find the derivative of the function.

A: Given, y=1x2+53

Q: Find the derivative of the function. h(s) = -27s2 + 9

A: topic  -  derivation

Q: Find the derivative of the function y = x²e*

A:

Q: Find the derivative of the function. y = 3ex - 6x

A: Given that  y=3e^x-6x To find the derivative of the function

Q: Find the derivative of the function.     y = 5(2 − x3)4

A: We use the power rule and the chain rule

Q: Find the derivatives of the functions y = x-3/5 + π3/2

A: Given function is a linear function

Q: Find the derivative, but do not simplify your answer. y = (x² + x + 6)( x - 2/x + 9 y' = ||

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Q: Find the derivative of the function.

A:

Q: Find the derivative of the function. y = x / sqrt ( 7- 3x )

A: y=x7-3x

Q: y = x³ – 3x2 + 3

A:

Q: Find the derivative of the function.

A: Given y=2x-73

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

A:

Q: Find the derivative of the function: y= 3x²e¬*

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Q: Use the Chain Rule to find the derivative of the function. y = (2x? - 9)

A: Answer and explanation is given below...

Q: Find the derivative of the function. y = 10'-x²

A: Derivative indicates rate of change. Use the chain rule: ddxf(g(x)=f'(g(x))g'(x) Use the formula:…

Q: Find the derivative of the following: y = (2x + 3) (3 – a²)

A: Given, y=(2x+3)(3-x2) To evaluate derivative of y

Q: Find an equation for the functionf that has the given derivative and whose graph passes through the…

A:

Q: Find the derivative of the function y = 5−4x

A: Given: y=5-4x we know that ddxakx=kakxlna

Q: Find the derivative of the given function.     y=x^(11/5)

A: (d/dx)(x^n)=nx^(n-1)

Q: Find the derivative of w=(t^5+13)^138

A: Here , we use the power rule to find the derivative , if w= t^n ,then dw/dt=n (t^(n-1)) and if w= k…

Q: Find the derivative of the function. y = 12 + 5

A:

Q: Given y=3x-2x2. Find its derivative and show that when x=5, a small change in x by P% will cause y…

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Q: Find the derivative of the function. y = 10(9 – x2)3

A: Find the derivative of the function y=109-x23.

Q: Find the derivative of the function. y = (2x − 7)3

A:

Q: Find the derivative of the given function.     y=x^3/5

A: Use power rule to obtain the derivative of given function.

Q: write the equation of the tangent line to the curve y=x^3+xat the points where the slope is 4.

A: We have given,

Q: Find the derivative of the function. 7x - 9 f(x) = f'(x) = Need Help? Read It

A: The answer is given below:

Q: Find the derivative of the function. y = x2 √(16 − x2)

A: Given:y=x2 16-x2Product of differentiation  formula:ddxuv=uv'+vu'

Q: The slope of the tangent line to the graph of the function y = 7/a – 4 at (16, 24) is -2.00 0.88…

A: Please refer the image.

Q: Find the derivative of the function y=x22+x33+x44.

A: Known fact: ddxxn=nxn-1ddxf+g=dfdx+dgdx

Q: Using the definition of derivative, find the derivative of the following functions: (a) y = xvx² -2…

A: (1) Y = X*(X2-2)0.5       dY/dX = (X2-2)0.5  + (1/2) *(1/(X2-2)0.5) *…

Q: Q3: Using the definition of the derivative to find the derivative of the function y =

A:

Q: Find an equation of the tangent line to the graph of f(x)=ex​, where x=3.4.   The equation of the…

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Q: Find the derivative of the function.

A:

Q: Find the derivative of the following function. y = 3.7* y' = ]

A: As per our company guidelines we are supposed to answer only one question. Kindly post other…

Q: Find the derivative of the function. y = xe4x

A: We have to find derivatives of function: y=xe4x Here two functions are in product so we should apply…

Q: Find the derivative of y 5x Select the correct answer below: 25x? 6xez2 -5 25x2 5ez (6x2-1) 25x2…

A:

Q: Find the derivative of the function. y = 1/(x2 + 5)3

A: Solution:- The given function is  y=1(x2+5)3

Q: Find the slope m and an equation of the tangent line to the graph of the function f at the specified…

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Q: x = -t4 – 5t – 3 2.

A:

Q: Find the derivative of the functionG(y)=(y^2/(y+2)^3

A: Apply quotient rule for differentiation

Q: Find the derivative of the function y = 3e^(13t-15)

A: Calculation:

Q: Find the derivative of the function  y=[x2 + (1  -3 x)5]3

A:

Q: Find the derivative y = 73

A: The given equation is: y=73t To find the derivative of y with respect to t.