Let f(x) = Then f'(x) = π The equation of the tangent line to y = f(x) at a = can be written in the form y = mx + b where 4 m= 4 sin x 2 sin x + 6 cos x b= 2/3 2 1+√3 X X and

Q: What is the derivative of f(x) = (sin(x²) + x³)¹ at x = 0 Answer:

A: INTRODUCTION In calculus, differentiation is a fundamental concept that involves finding the rate of…

Q: Find equation of the tangent line T equals pi divided by six at X(T) equals nine cosine t and  Y(T…

A: x(t)=9cost y(t)=5sint t=π/6

Q: Let g(z) = 6e²+ 9 cos z Determine the derivative of g. g'(z) = 6e²-9 sin(z) ✓ Determine the…

A:

Q: Find the equation of the tangent line to g(x) = (2x 3 + 4 tan x) / (5x 6 + 7 cos x ) at the point…

A:

Q: Consider the function Suppose that g(6) = ƒ' (6) = f(x) = (1 + sin(x)) (*) -9 and g'(6) - 4.

A:

Q: Find the derivative a) y = x sinh-(x) – Vx² + 1 b) y = cosh-(2Vx +1)

A: The derivative is calculated as:

Q: Determine f " (x) a. f(x) = cot (4x) + csc (x) b. f(x) = sin2 (x) tan(x)

A: Given a. f(x)=cot4x+cscxb. f(x)=sin2xtanx

Q: Determine the equation of the line tangent to y = (sin x)²(cos x) at the point (5,0).

A:

Q: Find the derivatives of the functions

A:

Q: Estimate sin (31) using an appropriate tangent line to the graph of y = sin(x).

A: Consider the provided question, We need to estimate sin31° by using tangent line to the graph of…

Q: 6.) Find the derivative of the following functions a.) f(x)=- 7-3х |t +1 b.) f(x)=. -1 c.) f(x)= ean…

A: