Let `h (x) = -3tan^5(-7x)` Determine the derivative of 'h`. (I 'h'(x)=' Determine the slope of `h` at 'x = 7. h'(7) = (Leave answer in exact form. No decimal approximation)

Q: Given that y = (2³ – 3) (z + 7). Find the derivative using the product rule and simplify your…

A: If we have a function , where u and v are the functions of x  . Then, by the use of the product…

Q: 4 Find the derivative of y = 8* +

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Q: Find the derivative of the function. y = 2e* +x2

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Q: how to get derivative of 2(x+(16/x))

A: The objective of the question is to find the derivative of the function 2(x+(16/x)). The derivative…

Q: 25

A: Given function is x2+y22=254xy2 We have, some rule of differentiation, ddxxn=nxn-1 ddxuv=vddxu+uddxv…

Q: Find the first and second derivative if w = 3z-2-(1/z)

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Q: Find the f derivative of x given f(x)=(3x)^-1

A: Calculation:Compute the derivative of f(x) = (3x)−1 as follows.

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

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Q: evaluate the derivative of the function at the given pointf(x)=-4/(2x2-3x)4 , (1,-4)

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Q: Find the derivative of the function in the image below by using the definition, then evaluate the…

A: Use the defination of the derivative

Q: Use the General Power Rule to find the derivative of the function. y' = y = Submit Answer 1…

A: Chain rule of derivative Power Rule

Q: what is the second derivative of -y/x

A: Apply the quotient rule, If f=uv,thenddxf=vdudx-udvdxv2 If f=-yx, where y is the dependent variable,…

Q: -6x 11x-5 + 22x-1 +5' — 6х 4 — 13х 3 2. (7 points) Find the derivative of h(x) = Do NOT simplify.

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