Understanding the Gradient function - Calculus - Socratic
Oct 9, 2014 · The gradient function, or the idea of the gradient function, is vital for understanding calculus. When we're dealing with a linear graph, the gradient function is simply calculating rise/run. In the real world, graphs don't always behave in a linear fashion, so we need a more accurate representation of the gradient function.
How do you find the gradient of a function at a given point?
Sep 4, 2014 · The gradient of a function is also known as the slope, and the slope (of a tangent) at a given point on a function is also known as the derivative. To find the gradient, take the derivative of the function with respect to x, then substitute the x-coordinate of the point of interest in for the x values in the derivative. For example, if you want to know the gradient of the …
How do you find the gradient of a tangent? (full question below)
Jul 11, 2018 · The gradient when y=x^2-9x is -7 The gradient when y=x^2-9 is 2 Finding the point of intersection of two parabolas means that your two equations are equal at a point x^2-9=x^2-9x -9=-9x x=1 When x=1, y=-8 --> (1,-8) To find the gradient of the lines at (1,-8), we need to find the first derivative y=x^2-9 (dy)/(dx)=2x Therefore, when we sub x=1 (dy)/(dx)=2 The gradient …
Calculate the gradient of the curve at the point where x = 1
Jun 17, 2018 · Calculate the gradient of the curve at the point where x = 1 ? y = x^3 +7. Calculus Derivatives Tangent Line to a Curve. 2 Answers
Find the gradient of the point f(1,-2,-1) for f(x,y,z)=3x^2y ... - Socratic
May 4, 2018 · The gradient is =<-12, -9 ,-16> The gradient is a vector : gradf=((delf)/(delx), (delf)/(dely), (delf)/(delz)) f(x,y,z)=3x^2y-y^3z^2 (delf)/(delx)=6xy (delf)/(dely ...
How do you find the gradient function of a curve? | Socratic
Sep 24, 2014 · Show that the gradient of the secant line to the curve #y=x^2+3x# at the points on the curve... What the slope of #x^4y^4=16# at #(2,1) #? See all questions in Understanding the Gradient function
How do you find the gradient of the tangent to the curve
Apr 3, 2015 · Show that the gradient of the secant line to the curve #y=x^2+3x# at the points on the curve... What the slope of #x^4y^4=16# at #(2,1) #? See all questions in Understanding the Gradient function
How do you find the slope given 2x + 5y = 10? | Socratic
May 24, 2018 · -2/5 To find the slope of a straight line, we must convert the equation into the form of y=mx+b, and then look at the value of m, which will be its slope.
If you're given coordinates of 2 points, how do you find the y ...
Jul 22, 2015 · Step 1. Find the slope using the equation #m=(y_2-y_1)/(x_2-x_1)#, where #m# is the slope, and #(x_1,y_1)# and #(x_2,y_2)# are the two points on the line.
What do the slope and intercept represent in a Mass vs 1
Sep 26, 2017 · The gradient of a graph is #"rise" / "run"#, #(deltay)/(deltax)#, so in this case your y-axis variable is mass (m) and your x-axis variable is inverse acceleration (#1/a#) , so substitute these into the equation for the gradient of a straight line. #m / (1/a)#, which is the same as #m -: 1 /a#, to do this we multiply be the reciprocal so #m xx a#.