Find the gradient of the tangent to S(t): = 5t +7 +2 at the point where t = −1.

Q: Find the gradient of the tangent line to y when x = 2.

A:

Q: Determine the slope of the curve y =1/x+1 at point (−2,−1).

A:

Q: Find the slope of y = ex at x = 0.

A: Given query is to find the slope.

Q: Find an equation of the tangent to the curve y =x In x atthe point  (e, e).

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Determine the point on the curve of y=4/x where the gradient of the tangent to the curve is -1

A: To determine: The point on the curve of at which gradient of tangent to the curve is . Given: The…

Q: What is the gradient of the tangent line to the curve y = 2x³ – 3x2 at the point with a = 2? |…

A:

Q: Find the gradient of the function: y = (5x ln (x)/ 6) + x/3 at the point with x-coordinate 1. Give…

A: We can solve this problem as follows:

Q: x = t* + 2; y = t³ + t; find the equation for the tangent line at the point (2,0).

A:

Q: The derivative of ƒ(x, y) at P0(1, 2) in the direction of i + j is 2sqrt(2) and in the direction of…

A:

Q: An object moves in a straight line so that its velocity after t seconds is v(t) = 2/t – t. Determine…

A: Given, Velocity of the particle v(t) = 2t -t Particle is moving in the straight line We have to find…

Q: 4. Find the gradient of the line normal to the tangent line of the function y=√√(x+2) (2-3x) at x =…

A: To find the gradient of the line normal to the tangent line of the function  y=x+22-3x at x=2.