a) A curve has equation y = x² cos x, x ER. Evaluate the gradient of the curve at x = π. Give the answer in terms of . dy dx ||

Q: Find the derivative of the function. 1 In(1 + 49x 14 y = x arctan 7x dy

A: Given y = xtan-1(7x) -114ln(1+49x2)dydx = d xtan-1(7x) -114ln(1+49x2)dxdydx =…

Q: Find the derivative. x10 12) y = cos /t dt

A: We differentiate both sides with respect to x

Q: Cos t dt. 2. Find the derivative of g(r) = :-

A:

Q: 2. Answer the following derivative related questions. dy. (1) Let y = x' + 4x³ + 2x² + 16, find ; dx…

A:

Q: Find the derivative d cos t dt dz

A: Given : ddx∫0xcostdt

Q: dy in each part. dr Find and simplify a) Use implicit differentiation 2x5 – y + 4ry³ = -8

A:

Q: dy given the equation 2² + y° = e". Use implicit differentiation to determine dr dy da ||

A: The equation is given by x2 + y5 = ey To evaluate : dydx

Q: If y = 2 + cos (x), find the equation of the tangent line to the curve at x = 37. Tangent line:

A: Topic - Equation of tangent line to curve We are given an equation of the curve y=2+cos(x)

Q: Evaluate the derivative of the function. y%3Dsec(6 In 8x) -1(6 In 8x) dy %D dx

A: The objective is to find the derivative of given function

Q: x² + 1 Find the tangent line of y = at r = 1

A:

Q: Compute the derivative, and simplify your answer. You must show your work. t3/2 +t1/2 dt d dx

A: