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: Q2/ A/ Show that the functions f(x) = sin-1() and g(x) = 2tan-Vx, have the same derivative. %3D

A: Given : f(x)= sin-1 ( x-1 / x+1 ) g(x) = 2 tan-1 (√x)

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).

A:

Q: Estimate the root very near x = 0.2 of 2(x*)* - 3(x*} + 1 = 0 using the Newton- Raphson Method with…

A:

Q: Find fifth order derivative of the function f(x) = x*Sin (2x +1) by using Leibnitz theorem.

A:

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

A:

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

A:

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

A:

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

A:

Q: Find the derivative of y = 5x²sec 1(2x-3). O y'= 10x sec-¹(2x-3) + O y'= 10x sec-¹(2x-3) + O y'=…

A:

Q: Find f'(x) of f(x) = 3π√123

A: given: fx=3π123 we have to find f'(x)

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

A:

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

A:

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: Find the derivative of the function In (2x+10) f (x) = x* sin (7x + 14) +

A:

Q: F(x)=-4cosx-9tanx , f’(4pi/3)= ___

A:

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

A: To find the derivative