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- Equation of the line tangent to the graph of f(x)=(x)(1-2x)^3 at (-1,1).The slope of the curve f(x)=x^(2)+4 at point (-1,4) isfind the slope of the curve y=x^2-4x-4 at the point P(3,-7) by finding the limiting value of the slope of the secant lines through point P. find an equation of the tangent line to the curve at P(3,-7).
- The tangent line to y= f(x) at (-7, -6) passes through the point (-9, -2). Compute the following. a) f(-7) b) f'(-7)Find the differential eqn. of the ff. family of curves: a.) Straight lines with slope half the value of the x-intercept b.) Circles with center on the y-axis c.) Circles with center on the line y = x, and passing through the originderivative of y=√x²-4 - 2arcsec x/2, 2<x<4
- A function f has the tangent line y=2x+1 at the point (3,7). Find the equation of tangent line of f^-1 at the point (7,3) in slope-intercept form.34 - What is the value of the first derivative of the function at x = 2? A) 2B) 1C) -2/3D) NO derivativeE) 0FIND THE DERIVATIVE OF THE FUNCTION BY THE LIMIT PROCESS. SHOW YOUR STEP BY STEP SOLUTIONS. 1. f(x)=7x-3 2. h(s)=3+2/3S 3. f(x)= 5-2/3X
- what is the average rate of change of f(x)=2x3-2 from -1 to 3. what is the equation of the secant line through (-1,f(-1)) and (3,f(3)). if aplicable write the answer using exact fractions.Using the limit definitoin of the derivative, comput the derivative of the function. x^3+3x^2+x+3 b) Which positions x does the graph of y=x^3+3x^2+x+3 have a horizontal tangent line?1. If the first derivative is zero and the second derivative is positive, what can be concluded in the graph? How can this be represented using a sketch? 1. If the first derivative is negative and the second derivative is zero, what can be concluded in the graph? How can this be represented using a sketch?
