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- For f(x)=√7x+2, find f′(x) using the definition f′(x)=limh→0f(x+h)−f(x)/h. f′(x)= Using this, find the tangent line to the graph of y=√7x+2 at x=1. Enter all values as integers, or fractions in lowest terms. y=Let f=3x^2+2 and find the values below 1) f(x+h) 2) (f(x+h)-f(x)) 3) lim h→0 (f(x+h)−f(x))/h 4) Find the equation of the line tangent to the graph of ff at x=2. y=?Lim as h approaches 0=[5e^x - 5e^(x+h)]/[3h]=
- 1. Find the dy/dx using logarithmic differentiation y=(x2(x4+5)1/2)/(ex-x^4) 2. Find the limit lim x->∞ ((8x3+x2)1/3-2x)Let f(x)= 1/(3x+2) find the values below 1) f(x+h)= 2) (f(x+h)-f(x))= 3) lim h→0 (f(x+h)−f(x))/h 4) Find the equation of the line tangent to the graph of f at x=2. y=?For f(x) = the square root of 7x+30, how can I find f’(x) using the definition f’(x) = lim as h—>0 (f(x+h)-f(x))/h f’(x)= ? y= ?
- If f(x)=sqrt x, find the linearization L(x) at a=4. Thus the graph of L(x) would be tangent to f(x) at 4.for f(x) = 3-x/2x+3 , find the f'(-1) using the limit definition of derivative. then use it to find an equation of the tangent line to the graph of y=3-x/2x+3 at (-1,4) using f'(a)= lim as h->0 f(a+h)-f(a)/hWrite down the limit definition of the derivative f'(x) and USE IT to find d/dx(1/x)
- For f(x)=3x^4, find dy/dx using the definition, dy/dx=limΔx→0 Δy/Δx= limΔx→0 f(x+Δx)−f(x)/Δx. (a) First, evaluate Δy=f(x+Δx)−f(x) and express it in the form Δy=L(x,Δx)⋅Δx. Use dx to represent Δx. Δy= (b) Using the L(x,Δx)Δx above, find the simplified derivative dy/dx= limΔx→0 Δy/Δx. dy/dx= limΔx→0 Δy/Δx=1. For what value (s) of x is the function f(x) = 4/2x2 - 6x not continous? 2. If the demand of firm is QD (p) = 50 -3p and its supply function is Qs (p) = 14 + 6p. What is the equilibrium? 3. Find Lim x2 -4x + 3/5Consider the function y=g(x)=-x2+3. Use the limit definition of the derivative to compute a formula for y=g′(x).