Bridges ClassWk_Deri.docs Math 115bINDIVIDUAL HOMEWORK #2DERIVATIVES1. Let f(x)=14−x . Use the definition of the derivative with h = 0.001 to calculate f '(6) to 3 decimal places. NOTE: YOUR FINAL ANSWER MUST BE ACCURATE TO 3 DECIMAL PLACES, SO KEEP AT LEAST 6 DECIMAL PLACES IN THE INNER WORKINGS OF THIS PROBLEM. SHOW ALL WORK.2. Let P(c)=7.16 c3+0.03 c2−2.45.(a) Use the short cut to find P'(c).(b) Calculate P'(−3) to 2 decimal places. SHOW WORK3. Let A=23m−2+π m7 / 3. Use the short cut to find dAdm. 4. Find the equation of the line tangent to y=−3 x2+7 x−9 at x=2. SHOW ALL WORK.Bridges ClassWk_Deri.docs Math 115b5. Let M(y)=4 y3+2 y−1 and let Q(y)=−5 M(y)+ y2. Find the value of Q'(−3). SHOW ALL WORK.6. You have discovered that the demand function for your project is D(q)=−0.00030312 q2+0.01090045 q+299.94368909.(a) Find the function MD(q).(b) Find the function R(q).(c) Find the function
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