If h(x) = V5 + 4f(x), where f(5) = 5 and f'(5) = 3, find h'(5). %3D %3D %3D h'(5) = %3D

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Q: First find f' and then find f. f"(x) = 10x³ + 2x? – 5x – 7, - f'(1) = –6, f(1) = -3. f'(x) = f(x) =

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Q: For each of the following y, find the d^2y/dx^2

A: We know, d/dx (xn)= nxn-1, for any real number n. d/dx(u(x)v(x))= v(x)*d/dx(u(x))+u(x)*d/dx(v(x))

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Q: 1 64 + 4f(1) + 7z²(f(x))* = 0 and f(1) = -2, find f'(1).

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A: Consider the given function fx=egx and gx=∫2x11+t4dt First find the value of g2 g2=∫2211+t4dt=0

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Q: here w

A: Here we have,  z(w)=w23w+cewz(w)=w23+1+cw23ewz(w)=w53+cw23ew differentiate with respect to w

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Q: Find y '  if  x  3+ y 3= 6xy

A: Given: x3+y3=6xy for finding y', we differentiate given equation with respect to x so,…