The equation of tangent line of the function 36 x3 f(x) e7t dt 36 х at x=1 is Oy- V36 el764 (x-1) Oy= V36 e9072 (x-1) Oy=V36 e252 (x-1) Oy=V36 e252 (x-1) Oy =V36 e9072 (x-1)

Q: Given the equation x' = -4yf (x) + sin(y) + 1. Take the derivative for both sides of the equation…

A: Given equation is x3=-4yfx+siny+1 Product rule of differentiation states that: ddxuv=vddxu+uddxv…

Q: Find the power function f(x)= cx^k such that f(1) = 2 and f(2)=64

A: Given f(x) = cxk and we have to find the values for c and k.

Q: If f(x) = 6(a-3/+7), find f'(2). Find f'(5).

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Q: Find the derivative of y = (4x³) (5x² − 8) ³ d = 12x² (5x² - 8) *² dy dx ○ du = (127²) (10x² - 8) +…

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Q: The function f(x) = x^2 is decrea sin g on (- ∞,0)  True or False

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Q: Suppose that Find f'(x). f'(x) = = f(x+h)-f(x) = 6hx - 4h +8h².

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Q: Find f    if  f'(x) = 7x9 − 5 √x + 3 sin x,   f(0) = 4

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Q: Find the first and second derivatives of the function. f(x) = (7x² + 6)7/2 r'(M) = | 49x(7x² + 6)…

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Q: Find the original function f(x) from given equation f'''(x)

A: We can solve this as follows:

Q: (1+x²-1) y = tan²¹ / √₁+x²

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Q: Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = cos(x) at x =…

A: Given function is y=cosx. We have to evaluate the first derivative of y=cosx at x=π4 using a value…

Q: F(x)=-4cosx-9tanx , f’(4pi/3)= ___

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Q: Suppose that Find f'(x). f'(x) f(a+h)-f(x) = -8ha² - 1hr8h²z5h² +6h³.

A: To find the derivative